What is (5r^6s^3)(2r^2s^4) ?

The solution to (5r^6s^3)(2r^2s^4) is 10r^8s^7

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simplify (5r^6s^3)(2r^2s^4)

simplify

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

10 r^{8} s^{7}

Solution steps

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

Apply exponent rule:

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

r^{6} r^{2} = r^{6 + 2}

= 5 s^{3} \cdot 2 r^{6 + 2} s^{4}

Add the numbers:

6 + 2 = 8

= 5 s^{3} \cdot 2 r^{8} s^{4}

Apply exponent rule:

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

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

= 5 \cdot 2 r^{8} s^{3 + 4}

Add the numbers:

3 + 4 = 7

= 5 \cdot 2 r^{8} s^{7}

Multiply the numbers:

5 \cdot 2 = 10

= 10 r^{8} s^{7}

e^{- 3 (t - 2)} u (t - 2)

c^{6} h^{12} o^{6}

\frac{( \frac{2}{9} ) ^{2}}{( \frac{2}{9} ) _{- 2}}

(8.99 \cdot 1 0^{9}) (1.6 \cdot 1 0^{- 19})