What is (8q^6r^6s^2)(6q^7rs) ?

The solution to (8q^6r^6s^2)(6q^7rs) is 48q^{13}r^7s^3

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simplify (8q^6r^6s^2)(6q^7rs)

simplify

(8 q^{6} r^{6} s^{2}) (6 q^{7} rs)

48 q^{13} r^{7} s^{3}

Solution steps

(8 q^{6} r^{6} s^{2}) (6 q^{7} rs)

Apply exponent rule:

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

q^{6} q^{7} = q^{6 + 7}

= 8 r^{6} s^{2} \cdot 6 q^{6 + 7} rs

Add the numbers:

6 + 7 = 13

= 8 r^{6} s^{2} \cdot 6 q^{13} rs

Apply exponent rule:

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

r^{6} r = r^{6 + 1}

= 8 s^{2} \cdot 6 q^{13} r^{6 + 1} s

Add the numbers:

6 + 1 = 7

= 8 s^{2} \cdot 6 q^{13} r^{7} s

Apply exponent rule:

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

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

= 8 \cdot 6 q^{13} r^{7} s^{2 + 1}

Add the numbers:

2 + 1 = 3

= 8 \cdot 6 q^{13} r^{7} s^{3}

Multiply the numbers:

8 \cdot 6 = 48

= 48 q^{13} r^{7} s^{3}

(x + 2)^{2} (x + 3)^{2}

1 6^{x + 1}

e^{- 0.237 \cdot 23.5}

- e^{- x} \cdot (- e^{x})

e^{9}

What is (8q^6r^6s^2)(6q^7rs) ?
The solution to (8q^6r^6s^2)(6q^7rs) is 48q^{13}r^7s^3