Question

verify
(-2)⁵×(-2)²=(-2)⁷​

Answer 1

Answer:

Two method explain below

Step-by-step explanation:

Formula

Method (1)

$a^m \times a^n = a^{m+ n}$

$(-2)^5 \times (-2)^2 = (-2)^{(5+2)} = (-2)^7\\So, (-2)^5 \times (-2)^2 = (-2)^7$

Method (2)

$LHS = (-2)^5 \times (-2)^2 = 32 \times 4 = 128\\RHS = (-2)^7 = 128\\So, LHS = RHS\\So, (-2)^5 \times (-2)^2 = (-2)^7$