Write the given mathematical statement in words. a m × a n = a m + n , where a , m , n ∈ N

Given mathematical statement is a m × a n = a m + n , where a , m , n ∈ N . Here, a , m and n are the three natural numbers. From the LHS, we observe that a m × a n represents the product of exponents with the same base a and raised to the powers m , n respectively. Similarly, RHS describes, the same base is raised to the sum of the powers. Hence, the given statement in words can be written as, For any three natural numbers a , m and n , The product of a to the power m and a n is equal to a to the power m + n .

E M B I B E

Mathematics Class - 10>Chapter 14 - Proof of Mathematical Statements>Try These>Q 1

MEDIUM

10th Chhattisgarh Board

IMPORTANT

Earn 100

Prove that the exterior angle of a triangle is equal to the sum of two interior opposite angles.

Important Questions on Proof of Mathematical Statements

MEDIUM

10th Chhattisgarh Board

IMPORTANT

Mathematics Class - 10>Chapter 14 - Proof of Mathematical Statements>Try These>Q 2

If two angles of a triangle are equal, then its two opposite sides are also equal.

MEDIUM

10th Chhattisgarh Board

IMPORTANT

Mathematics Class - 10>Chapter 14 - Proof of Mathematical Statements>Try These>Q 3

Prove that the diagonal of a parallelogram divides it into two congruent triangles.

HARD

10th Chhattisgarh Board

IMPORTANT

Mathematics Class - 10>Chapter 14 - Proof of Mathematical Statements>Try These>Q 4

If in two right triangles, hypotenuse and one side of the first triangle are equal to the hypotenuse and one side of the other triangle, then the two triangles are congruent.

MEDIUM

10th Chhattisgarh Board

IMPORTANT

Mathematics Class - 10>Chapter 14 - Proof of Mathematical Statements>Try These>Q (i)

Write the given mathematical statement in words.

$a^{m} \times a^{n} = a^{m + n}$ , where $a, m, n \in N$