What is (6q^7s^5)(2q^2s^3) ?

The solution to (6q^7s^5)(2q^2s^3) is 12q^9s^8

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simplify (6q^7s^5)(2q^2s^3)

simplify

(6 q^{7} s^{5}) (2 q^{2} s^{3})

12 q^{9} s^{8}

Solution steps

(6 q^{7} s^{5}) (2 q^{2} s^{3})

Apply exponent rule:

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

q^{7} q^{2} = q^{7 + 2}

= 6 s^{5} \cdot 2 q^{7 + 2} s^{3}

Add the numbers:

7 + 2 = 9

= 6 s^{5} \cdot 2 q^{9} s^{3}

Apply exponent rule:

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

s^{5} s^{3} = s^{5 + 3}

= 6 \cdot 2 q^{9} s^{5 + 3}

Add the numbers:

5 + 3 = 8

= 6 \cdot 2 q^{9} s^{8}

Multiply the numbers:

6 \cdot 2 = 12

= 12 q^{9} s^{8}

(6 a^{6} b^{3}) (4 a^{9} b^{2})

3 a^{2} b^{2} (a + b) (a - b)

u_{5} (t) e^{- (t - 5)}

10 \cdot e^{- 2 (\frac{x - 1}{x})}

25 (2)^{t} \cdot 150 (1.5)^{t}