What is simplify-3a^6b^2(2a^5b^7) ?

The solution to simplify-3a^6b^2(2a^5b^7) is -6a^{11}b^9

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simplify-3a^6b^2(2a^5b^7)

simplify

- 3 a^{6} b^{2} (2 a^{5} b^{7})

- 6 a^{11} b^{9}

Solution steps

- 3 a^{6} b^{2} (2 a^{5} b^{7})

Apply exponent rule:

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

a^{6} a^{5} = a^{6 + 5}

= - 3 b^{2} \cdot 2 a^{6 + 5} b^{7}

Add the numbers:

6 + 5 = 11

= - 3 b^{2} \cdot 2 a^{11} b^{7}

Apply exponent rule:

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

b^{2} b^{7} = b^{2 + 7}

= - 3 \cdot 2 a^{11} b^{2 + 7}

Add the numbers:

2 + 7 = 9

= - 3 \cdot 2 a^{11} b^{9}

Multiply the numbers:

3 \cdot 2 = 6

= - 6 a^{11} b^{9}

(- 5)^{2}

(3.7 \cdot 1 0^{- 8}) (2.9 \cdot 1 0^{6})

40 \cdot 1 0^{- 3} \cdot \frac{1000}{1.3 \cdot 1 0 ^{- 3}}

\frac{( n + 1 ) ^{4}}{n ^{4}}

(x - 2)^{2} (x - 4)^{2}

What is simplify-3a^6b^2(2a^5b^7) ?
The solution to simplify-3a^6b^2(2a^5b^7) is -6a^{11}b^9