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Popular >

simplify 4r^{-3}*2r^2

Solution

simplify

4 r^{- 3} \cdot 2 r^{2}

Solution

\frac{8}{r}

Solution steps

4 r^{- 3} \cdot 2 r^{2}

Multiply the numbers:

4 \cdot 2 = 8

= 8 r^{- 3} r^{2}

Apply exponent rule:

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

r^{- 3} r^{2} = r^{- 3 + 2}

= 8 r^{- 3 + 2}

Add/Subtract the numbers:

- 3 + 2 = - 1

= 8 r^{- 1}

Apply exponent rule:

a^{- 1} = \frac{1}{a}

r^{- 1} = \frac{1}{r}

= 8 \cdot \frac{1}{r}

Simplify

8 \cdot \frac{1}{r} : \frac{8}{r}

= \frac{8}{r}

Popular Examples

z^{2} - 3 z - 40 = 0

- 5 a + 6 > 11

(x+9)4-64(x+9)2=0

(x + 9) 4 - 64 (x + 9) 2 = 0

44t-16t^2=-11/8

44 t - 16 t^{2} = - \frac{11}{8}

simplify ((2pi)/3)/(2)simplify

\frac{\frac{2 π}{3}}{2}

Frequently Asked Questions (FAQ)

What is 4r^{-3}*2r^2 ?
The solution to 4r^{-3}*2r^2 is 8/r