Write the expression 3 x - 3 2 in radical form

Given expression is 3 x - 3 2 ⇒ 3 x - 3 2 = 3 x 3 2 Since a - m = 1 a m ⇒ 3 x - 3 2 = 3 x 3 1 2 since a m n = a m 1 n If n is a positive integer that is greater than 1 and a is a real number then a n = a 1 n where n is called the index , a is called the radicand , and the symbol is called the radical . The left side of this equation is often called the radical form and the right side is often called the exponent form. Note as well that the index is required in these to make sure that we correctly evaluate the radical. There is one exception to this rule and that is square root. For square roots we have, a 2 = a Therefore, 3 x - 3 2 = 3 x 3 1 2

Write the expression 10 3 in exponential form:

Given expression is 10 3 If n is a positive integer that is greater than 1 and a is a real number then a n = a 1 n where n is called the index , a is called the radicand , and the symbol is called the radical . The left side of this equation is often called the radical form and the right side is often called the exponent form. Note as well that the index is required in these to make sure that we correctly evaluate the radical. There is one exception to this rule and that is square root. For square roots we have, a 2 = a ⇒ 10 3 = 10 1 2 3 ⇒ 10 3 = 10 3 2 since a m n = a m 1 n

Write the expression a 6 5 in exponential form:

Given expression is a 6 5 If n is a positive integer that is greater than 1 and a is a real number then a n = a 1 n where n is called the index , a is called the radicand , and the symbol is called the radical . The left side of this equation is often called the radical form and the right side is often called the exponent form. Note as well that the index is required in these to make sure that we correctly evaluate the radical. There is one exception to this rule and that is square root. For square roots we have, a 2 = a ⇒ a 6 5 = a 6 1 5 ⇒ a 6 5 = a 6 5 since a m n = a m 1 n

Write the expression m 7 3 in exponential form:

Given expression is m 7 3 If n is a positive integer that is greater than 1 and a is a real number then a n = a 1 n where n is called the index , a is called the radicand , and the symbol is called the radical . The left side of this equation is often called the radical form and the right side is often called the exponent form. Note as well that the index is required in these to make sure that we correctly evaluate the radical. There is one exception to this rule and that is square root. For square roots we have, a 2 = a ⇒ m 7 3 = m 7 1 3 ⇒ m 7 3 = m 7 3 since a m n = a m 1 n

Write the expression 1 5 x in exponential form:

Given expression is 1 5 x If n is a positive integer that is greater than 1 and a is a real number then a n = a 1 n where n is called the index , a is called the radicand , and the symbol is called the radical . The left side of this equation is often called the radical form and the right side is often called the exponent form. Note as well that the index is required in these to make sure that we correctly evaluate the radical. There is one exception to this rule and that is square root. For square roots we have, a 2 = a ⇒ 1 5 x = 1 5 x 1 2 ⇒ 1 5 x = 5 x - 1 2 since a m = 1 a - m

Write the expression 1 2 d 5 4 in exponential form:

Given expression is 1 2 d 5 4 If n is a positive integer that is greater than 1 and a is a real number then a n = a 1 n where n is called the index , a is called the radicand , and the symbol is called the radical . The left side of this equation is often called the radical form and the right side is often called the exponent form. ⇒ 1 2 d 5 4 = 1 2 d 5 1 4 ⇒ 1 2 d 5 4 = 1 2 d 5 4 since a m n = a m × n

Write the expression 3 x in exponential form:

Given expression is 3 x If n is a positive integer that is greater than 1 and a is a real number then a n = a 1 n where n is called the index , a is called the radicand , and the symbol is called the radical . The left side of this equation is often called the radical form and the right side is often called the exponent form. Note as well that the index is required in these to make sure that we correctly evaluate the radical. There is one exception to this rule and that is square root. For square roots we have, a 2 = a ⇒ 3 x = 3 x 1 2

Write the expression 3 x in exponential form:

Given expression is 3 x If n is a positive integer that is greater than 1 and a is a real number then a n = a 1 n where n is called the index , a is called the radicand , and the symbol is called the radical . The left side of this equation is often called the radical form and the right side is often called the exponent form. Note as well that the index is required in these to make sure that we correctly evaluate the radical. There is one exception to this rule and that is square root. For square roots we have, a 2 = a ⇒ 3 x = 3 x 1 2 ⇒ 3 x = 3 x - 1 2 since a m = 1 a - m

E M B I B E

Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 9 - Representing Equivalent Quantities: Exponentials and Logarithms>Exercise 9B

Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Representing Equivalent Quantities: Exponentials and Logarithms, Exercise 9: Exercise 9B

Author:Natasha Awada, Paul La Rondie, Laurie Buchanan & Jill Stevens

Natasha Awada Mathematics Solutions for Exercise - Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Representing Equivalent Quantities: Exponentials and Logarithms, Exercise 9: Exercise 9B

Attempt the free practice questions on Chapter 9: Representing Equivalent Quantities: Exponentials and Logarithms, Exercise 9: Exercise 9B with hints and solutions to strengthen your understanding. Mathematics : Analysis and Approaches Standard Level Course Companion solutions are prepared by Experienced Embibe Experts.