Question

Evaluate
(5^3 )^4 × (5^−2 )^5

Answer 1

Answer:

Ans: 25

(5^3 )^4 × (5^−2 )^5 = 25

Answer 2

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Answer: $\blue{ \boxed{25} }$

Step-by-step explanation:

$\bf ( {5}^{3} )^{4} \times ( {5}^{ - 2} )^{5} =$

$\bf {5}^{(3 \times 4)} \times {5}^{( - 2 \times 5)} =$

$\bf {5}^{12} \times {5}^{ - 10} =$

$\bf {5}^{[12 + ( - 10)]} =$

$\bf {5}^{2} = 5 \times 5 = \red{ \boxed{25} }$