What is expand (27a^4b^5)(8a^2b) ?

The solution to expand (27a^4b^5)(8a^2b) is 216a^6b^6

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expand (27a^4b^5)(8a^2b)

expand

(27 a^{4} b^{5}) (8 a^{2} b)

216 a^{6} b^{6}

Solution steps

(27 a^{4} b^{5}) (8 a^{2} b)

Remove parentheses:

(a) = a

= 27 a^{4} b^{5} \cdot 8 a^{2} b

Multiply the numbers:

27 \cdot 8 = 216

= 216 a^{4} a^{2} b^{5} b

Apply exponent rule:

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

a^{4} a^{2} = a^{4 + 2}

= 216 b^{5} a^{4 + 2} b

Add the numbers:

4 + 2 = 6

= 216 b^{5} a^{6} b

Apply exponent rule:

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

b^{5} b = b^{5 + 1}

= 216 a^{6} b^{5 + 1}

Add the numbers:

5 + 1 = 6

= 216 a^{6} b^{6}

(π + 11)^{2}

(- 1, - 3) y (- 1, 1)

\frac{1}{( x ^{2} + 1 ) ( x ^{2} + x + 1 )}

\frac{20 ( x - 11 )}{13}

\frac{W ( X - 3 L ) X}{2}

What is expand (27a^4b^5)(8a^2b) ?
The solution to expand (27a^4b^5)(8a^2b) is 216a^6b^6