What is ((2a^6*2a^5b^4)/(2a^3))^3 ?

The solution to ((2a^6*2a^5b^4)/(2a^3))^3 is 8a^{24}b^{12}

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simplify ((2a^6*2a^5b^4)/(2a^3))^3

simplify

(\frac{2 a ^{6} \cdot 2 a ^{5} b ^{4}}{2 a ^{3}})^{3}

8 a^{24} b^{12}

Solution steps

(\frac{2 a ^{6} \cdot 2 a ^{5} b ^{4}}{2 a ^{3}})^{3}

Apply exponent rule:

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

= \frac{( 2 a ^{6} \cdot 2 a ^{5} b ^{4} ) ^{3}}{( 2 a ^{3} ) ^{3}}

Simplify

(2 a^{6} \cdot 2 a^{5} b^{4})^{3} : 64 a^{33} b^{12}

= \frac{64 a ^{33} b ^{12}}{( 2 a ^{3} ) ^{3}}

Simplify

(2 a^{3})^{3} : 8 a^{9}

= \frac{64 a ^{33} b ^{12}}{8 a ^{9}}

Divide the numbers:

\frac{64}{8} = 8

= \frac{8 a ^{33} b ^{12}}{a ^{9}}

Apply exponent rule:

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

\frac{a ^{33}}{a ^{9}} = a^{33 - 9}

= 8 b^{12} a^{33 - 9}

Subtract the numbers:

33 - 9 = 24

= 8 a^{24} b^{12}

5 (7 - x) + 2 x < 6 x - 2 - 9 x

3 x - 27

3 x - 7 = 2 x - 2

0.85 = \frac{3425.1 - x}{3425.1 - 2006.958}

x \leq 3 and x \geq 4

What is ((2a^6*2a^5b^4)/(2a^3))^3 ?
The solution to ((2a^6*2a^5b^4)/(2a^3))^3 is 8a^{24}b^{12}