What is (7r^8t^6)(1/7 s^{10}t^9) ?

The solution to (7r^8t^6)(1/7 s^{10}t^9) is r^8t^{15}s^{10}

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simplify (7r^8t^6)(1/7 s^{10}t^9)

simplify

(7 r^{8} t^{6}) (\frac{1}{7} s^{10} t^{9})

r^{8} t^{15} s^{10}

Solution steps

(7 r^{8} t^{6}) (\frac{1}{7} s^{10} t^{9})

Apply exponent rule:

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

t^{6} t^{9} = t^{6 + 9}

= 7 r^{8} \frac{1}{7} s^{10} t^{6 + 9}

Add the numbers:

6 + 9 = 15

= 7 r^{8} \frac{1}{7} s^{10} t^{15}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 7 r ^{8} s ^{10} t ^{15}}{7}

Cancel the common factor:

7

= 1 \cdot r^{8} s^{10} t^{15}

Multiply:

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

= r^{8} t^{15} s^{10}

7 e^{(- 0.4 \cdot 9)}

22.41667 \cdot 1.8 \cdot 1 0^{- 5} \cdot 1

(1.5 \cdot 1 0^{7}) (32 \cdot 1 0^{6})

e^{- 2 l n (c o s (7 x))}

What is (7r^8t^6)(1/7 s^{10}t^9) ?
The solution to (7r^8t^6)(1/7 s^{10}t^9) is r^8t^{15}s^{10}