Question

5³ x 5⁻¹ is equal to​

Answer 1

Answer:

5³ × 5-¹

we know that a^m × a^n = a^m+n

(5) ^3+(-1)

(5)^2

5×5 = 25

answer is 25

Answer 2

5³ × 5⁻¹ = 5²

Given :

The expression 5³ × 5⁻¹

To find :

The value of the expression

Formula :

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

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

5³ × 5⁻¹

Step 2 of 2 :

Simplify the given expression

We are aware of the formula on indices that

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

Thus we get

$\sf {5}^{3} \times {5}^{ - 1}$

$\sf = {5}^{3 - 1}$

$\sf = {5}^{2}$

Hence 5³ × 5⁻¹ = 5²

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$1.$ choose the correct alternative : 100¹⁰⁰ is equal to (a) 2¹⁰⁰ × 50¹⁰⁰ (b) 2¹⁰⁰ + 50¹⁰⁰ (c) 2² × 50⁵⁰ (d) 2² + 50⁵⁰

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2. Using law of exponents, simplify (5²)³÷5³

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