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Popular >

simplify (2^{5x})/(2^x)

Solution

simplify

\frac{2 ^{5 x}}{2 ^{x}}

Solution

1 6^{x}

Solution steps

\frac{2 ^{5 x}}{2 ^{x}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= 2^{5 x - x}

Add similar elements:

5 x - x = 4 x

= 2^{4 x}

Apply exponent rule:

a^{b x} = (a^{b})^{x}

2^{4 x} = (2^{4})^{x}

= (2^{4})^{x}

2^{4} = 16

= 1 6^{x}

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Frequently Asked Questions (FAQ)

What is (2^{5x})/(2^x) ?
The solution to (2^{5x})/(2^x) is 16^x