What is (6r^3s^4)(4r^2s^3) ?

The solution to (6r^3s^4)(4r^2s^3) is 24r^5s^7

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simplify (6r^3s^4)(4r^2s^3)

simplify

(6 r^{3} s^{4}) (4 r^{2} s^{3})

24 r^{5} s^{7}

Solution steps

(6 r^{3} s^{4}) (4 r^{2} s^{3})

Apply exponent rule:

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

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

= 6 s^{4} \cdot 4 r^{3 + 2} s^{3}

Add the numbers:

3 + 2 = 5

= 6 s^{4} \cdot 4 r^{5} s^{3}

Apply exponent rule:

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

s^{4} s^{3} = s^{4 + 3}

= 6 \cdot 4 r^{5} s^{4 + 3}

Add the numbers:

4 + 3 = 7

= 6 \cdot 4 r^{5} s^{7}

Multiply the numbers:

6 \cdot 4 = 24

= 24 r^{5} s^{7}

\frac{- 70}{- 10}

1.25 \cdot 1 0^{- 3}

(2 y^{2} - 2 z^{3}) (2 y^{2} - 2 z^{3})

- 2 (e^{- 2})

e^{- a \cdot ∣ t ∣}