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spin [16.1K]
3 years ago
6

Explain how the Quotient of Powers was used to simplify this expression. (2 points) 2 to the fifth power, over 8 = 22

Mathematics
2 answers:
katovenus [111]3 years ago
7 0

Answer:

The Quotient of Powers Rule helps to simplify exponents.

That is, If our expression is \frac{a^m}{a^n}

Then after applying Quotient of Powers Rule,

We can write, \frac{a^m}{a^n}=a^{m-n}

Here our expression, 2 to the fifth power over 8 = \frac{ 2 ^5}{8}

= \frac{ 2 ^5}{2^3}

= 2^{5-3} ( By applying quotient of power rule)

= 2^{2}

= 4

masya89 [10]3 years ago
3 0
2^5/8
2^5/2^3
2^(5-3)
2^2
=4
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