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Popular >

simplify b^8(2b)^7

Solution

simplify

b^{8} (2 b)^{7}

Solution

128 b^{15}

Solution steps

b^{8} (2 b)^{7}

Simplify

(2 b)^{7} : 128 b^{7}

= b^{8} \cdot 128 b^{7}

Apply exponent rule:

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

b^{8} b^{7} = b^{8 + 7}

= b^{8 + 7} \cdot 128

Add the numbers:

8 + 7 = 15

= b^{15} \cdot 128

= 128 b^{15}

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Frequently Asked Questions (FAQ)

What is b^8(2b)^7 ?
The solution to b^8(2b)^7 is 128b^{15}