What is simplify-4a^5b^3(3a^2b^7) ?

The solution to simplify-4a^5b^3(3a^2b^7) is -12a^7b^{10}

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simplify-4a^5b^3(3a^2b^7)

simplify

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

- 12 a^{7} b^{10}

Solution steps

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

Apply exponent rule:

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

a^{5} a^{2} = a^{5 + 2}

= - 4 b^{3} \cdot 3 a^{5 + 2} b^{7}

Add the numbers:

5 + 2 = 7

= - 4 b^{3} \cdot 3 a^{7} b^{7}

Apply exponent rule:

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

b^{3} b^{7} = b^{3 + 7}

= - 4 \cdot 3 a^{7} b^{3 + 7}

Add the numbers:

3 + 7 = 10

= - 4 \cdot 3 a^{7} b^{10}

Multiply the numbers:

4 \cdot 3 = 12

= - 12 a^{7} b^{10}

e^{- a s}

\frac{- 20}{4}

e^{- 0.84}

5.9 \cdot 1 0^{- 3}

(e^{3})^{3}

What is simplify-4a^5b^3(3a^2b^7) ?
The solution to simplify-4a^5b^3(3a^2b^7) is -12a^7b^{10}