What is (10r^3s^2)(9r^9s) ?

The solution to (10r^3s^2)(9r^9s) is 90r^{12}s^3

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simplify (10r^3s^2)(9r^9s)

simplify

(10 r^{3} s^{2}) (9 r^{9} s)

90 r^{12} s^{3}

Solution steps

(10 r^{3} s^{2}) (9 r^{9} s)

Apply exponent rule:

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

r^{3} r^{9} = r^{3 + 9}

= 10 s^{2} \cdot 9 r^{3 + 9} s

Add the numbers:

3 + 9 = 12

= 10 s^{2} \cdot 9 r^{12} s

Apply exponent rule:

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

s^{2} s = s^{2 + 1}

= 10 \cdot 9 r^{12} s^{2 + 1}

Add the numbers:

2 + 1 = 3

= 10 \cdot 9 r^{12} s^{3}

Multiply the numbers:

10 \cdot 9 = 90

= 90 r^{12} s^{3}

1 0^{6} \cdot 12 \cdot 1 0^{(- 3)} \frac{1}{π \cdot 357}

5 d^{3} (7 d^{2})

2 q^{2} (9 q^{4})

\frac{4 ^{16}}{5 ^{16}}