simplify b^8(2b)^6

Solution

simplify

b^{8} (2 b)^{6}

64 b^{14}

Solution steps

b^{8} (2 b)^{6}

Simplify

(2 b)^{6} : 64 b^{6}

= b^{8} \cdot 64 b^{6}

Apply exponent rule:

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

b^{8} b^{6} = b^{8 + 6}

= b^{8 + 6} \cdot 64

Add the numbers:

8 + 6 = 14

= b^{14} \cdot 64

= 64 b^{14}

\frac{x ^{2} + 5 x + 4}{x ^{2} - 3 x - 4}

2 7^{\frac{1}{3}} - (9 - 5^{2})

4 x y + 18 x y^{2}

\frac{4 + h - 2}{h}

24 a^{3} - 6 a^{2} + 8 a - 2