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 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