Question

Multiplicative inverse of 2 raise to the power 7

Answer 1

Multiplicative inverse of 2 raise to the power 7 is 2^(-7)

Answer 2

Answer:

Required answer is $\frac{1}{128}$

Step-by-step explanation:

Here given expression is 2 raise to the power 7 $= {2}^{7}$

Here we want to find Multiplicative inverse of given expression.

This is a problem of Power of indices.

But now question is what is Multiplicative inverse?

If a is a number then $\frac{1}{a}$

is Multiplicative inverse of a.

For example Multiplicative inverse of 2 is $\frac{1}{2}$

and Multiplicative inverse of 500 is $\frac{1}{500}$

Here given number is ${2}^{7} = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 128$

Now Multiplicative inverse of 128 is $\frac{1}{128}$

Some important formulas of power of indices

${x}^{0} = 1 \\ {x}^{1} = x \\ {x}^{a} \times {x}^{b} = {x}^{a + b} \\ \frac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} \\ {x}^{ {y}^{a} } = {x}^{ya} \\ {x}^{ - 1} = \frac{1}{x} \\ {x}^{a} \times {y}^{a} = {(xy)}^{a}$