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Popular >

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

Solution

simplify

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

Solution

- 16 r^{7}

Solution steps

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

Apply rule:

a (- b) = - ab

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

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

Multiply the numbers:

- 4 \cdot 4 = - 16

= - 16 r^{4} r^{3}

Apply exponent rule:

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

r^{4} r^{3} = r^{4 + 3}

= - 16 r^{4 + 3}

Add the numbers:

4 + 3 = 7

= - 16 r^{7}

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Frequently Asked Questions (FAQ)

What is 4r^4(-4r^3) ?
The solution to 4r^4(-4r^3) is -16r^7