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Zanzabum
3 years ago
11

H^-16/h^x=1/h^24 can someone help me please

Mathematics
1 answer:
Basile [38]3 years ago
5 0

Given:

Consider the equation is

\dfrac{h^{16}}{h^x}=\dfrac{1}{h^{24}}

To find:

The value of x.

Solution:

We have,

\dfrac{h^{-16}}{h^x}=\dfrac{1}{h^{24}}

Using properties of exponents, we get

h^{-16-x}=h^{-24}       [\because \dfrac{a^m}{a^n}=a^{m-n},a^{-n}=\dfrac{1}{a^n}]

On comparing both sides, we get

-16-x=-24

Add 16 on both sides.

-x=-24+16

-x=-8

Multiply both sides by -1.

x=8

Therefore, the value of x is 8.

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Keywords: function, addition

Learn more about functions at:

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  • brainly.com/question/10708697

#LearnwithBrainly

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