Question

Multiplicative inverse of 5^-3

Answer 1

Solution:

Mulplicative inverse of 5^-3

= 5³

=> (5)^-3 × 5³ = 1

/* Multiplicative inverse of a is 1/a */

••••

Answer 2

Multiplicative inverse of 5⁻³ is 5³.

Step-by-step explanation:

The given expression is

$5^{-3}$

Using the properties of exponents we get

$5^{-3}=\dfrac{1}{5^3}$                $[\because a^{-n}=\dfrac{1}{a^n}]$

If x is a number, then 1/x is the multiplicative inverse of x because

$x\times \dfrac{1}{x}=1$

We need to find the multiplicative inverse of $x=\dfrac{1}{5^3}$.

Multiplicative inverse = $\dfrac{1}{x}=\dfrac{1}{\frac{1}{5^3}}=5^3$

Therefore, multiplicative inverse of 5⁻³ is 5³.

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