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Popular >

simplify (7r)(-3r^4)

Solution

simplify

(7 r) (- 3 r^{4})

Solution

- 21 r^{5}

Solution steps

(7 r) (- 3 r^{4})

Apply rule:

a (- b) = - ab

(7 r) (- 3 r^{4}) = - 7 r \cdot 3 r^{4}

= - 7 r \cdot 3 r^{4}

Multiply the numbers:

- 7 \cdot 3 = - 21

= - 21 r r^{4}

Apply exponent rule:

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

r r^{4} = r^{1 + 4}

= - 21 r^{1 + 4}

Add the numbers:

1 + 4 = 5

= - 21 r^{5}

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Frequently Asked Questions (FAQ)

What is (7r)(-3r^4) ?
The solution to (7r)(-3r^4) is -21r^5