Question

.5³ × 5^-1 is equal to *
1 point
(a) 5
(b) 5³
(c) 5-1
(d) 5²

Answer 1

Answer:

5²

Step-by-step explanation:

Answer 2

5³ × 5⁻¹ = 5²

Given :

The expression 5³ × 5⁻¹

To find :

The value of the expression is

(a) 5

(b) 5³

(c) 5⁻¹

(d) 5²

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 the correct option is (d) 5²

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