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Popular >

simplify ((b^8)/(b^4))^2

Solution

simplify

(\frac{b ^{8}}{b ^{4}})^{2}

Solution

b^{8}

Solution steps

(\frac{b ^{8}}{b ^{4}})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( b ^{8} ) ^{2}}{( b ^{4} ) ^{2}}

Simplify

(b^{8})^{2} : b^{16}

= \frac{b ^{16}}{( b ^{4} ) ^{2}}

Simplify

(b^{4})^{2} : b^{8}

= \frac{b ^{16}}{b ^{8}}

Apply exponent rule:

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

\frac{b ^{16}}{b ^{8}} = b^{16 - 8}

= b^{16 - 8}

Subtract the numbers:

16 - 8 = 8

= b^{8}

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Frequently Asked Questions (FAQ)

What is ((b^8)/(b^4))^2 ?
The solution to ((b^8)/(b^4))^2 is b^8