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Popular >

simplify b^8(2b)^5

Solution

simplify

b^{8} (2 b)^{5}

Solution

32 b^{13}

Solution steps

b^{8} (2 b)^{5}

Simplify

(2 b)^{5} : 32 b^{5}

= b^{8} \cdot 32 b^{5}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

b^{8} b^{5} = b^{8 + 5}

= b^{8 + 5} \cdot 32

Add the numbers:

8 + 5 = 13

= b^{13} \cdot 32

= 32 b^{13}

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Frequently Asked Questions (FAQ)

What is b^8(2b)^5 ?
The solution to b^8(2b)^5 is 32b^{13}