What is 10r^8s(5r^9s)(r^9s^9) ?

The solution to 10r^8s(5r^9s)(r^9s^9) is 50r^{26}s^{11}

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simplify 10r^8s(5r^9s)(r^9s^9)

simplify

10 r^{8} s (5 r^{9} s) (r^{9} s^{9})

50 r^{26} s^{11}

Solution steps

10 r^{8} s (5 r^{9} s) (r^{9} s^{9})

Apply exponent rule:

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

r^{8} r^{9} r^{9} = r^{8 + 9 + 9}

= 10 s \cdot 5 s r^{8 + 9 + 9} s^{9}

Add the numbers:

8 + 9 + 9 = 26

= 10 s \cdot 5 s r^{26} s^{9}

Apply exponent rule:

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

ss s^{9} = s^{1 + 1 + 9}

= 10 \cdot 5 r^{26} s^{1 + 1 + 9}

Add the numbers:

1 + 1 + 9 = 11

= 10 \cdot 5 r^{26} s^{11}

Multiply the numbers:

10 \cdot 5 = 50

= 50 r^{26} s^{11}

e^{- 2.016}

e^{- (s - 3) t}

2 \cdot 17.7

- 1.602 \cdot 1 0^{- 19} \cdot 4600

0.25 e^{- 0.25 (0)}

What is 10r^8s(5r^9s)(r^9s^9) ?
The solution to 10r^8s(5r^9s)(r^9s^9) is 50r^{26}s^{11}