What is simplify-4p^3q^3(5pq^4) ?

The solution to simplify-4p^3q^3(5pq^4) is -20p^4q^7

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simplify-4p^3q^3(5pq^4)

simplify

- 4 p^{3} q^{3} (5 p q^{4})

- 20 p^{4} q^{7}

Solution steps

- 4 p^{3} q^{3} (5 p q^{4})

Apply exponent rule:

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

p^{3} p = p^{3 + 1}

= - 4 q^{3} \cdot 5 p^{3 + 1} q^{4}

Add the numbers:

3 + 1 = 4

= - 4 q^{3} \cdot 5 p^{4} q^{4}

Apply exponent rule:

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

q^{3} q^{4} = q^{3 + 4}

= - 4 \cdot 5 p^{4} q^{3 + 4}

Add the numbers:

3 + 4 = 7

= - 4 \cdot 5 p^{4} q^{7}

Multiply the numbers:

4 \cdot 5 = 20

= - 20 p^{4} q^{7}

\frac{x}{x - 1}

(4.3 \times 1 0^{2}) \times (4 \times 1 0^{- 3})

1 0^{- 7}

(37)^{2}

What is simplify-4p^3q^3(5pq^4) ?
The solution to simplify-4p^3q^3(5pq^4) is -20p^4q^7