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Popular >

simplify (6s^7t^7)(7s^7t)

Solution

simplify

(6 s^{7} t^{7}) (7 s^{7} t)

Solution

42 s^{14} t^{8}

Solution steps

(6 s^{7} t^{7}) (7 s^{7} t)

Apply exponent rule:

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

s^{7} s^{7} = s^{7 + 7}

= 6 t^{7} \cdot 7 s^{7 + 7} t

Add the numbers:

7 + 7 = 14

= 6 t^{7} \cdot 7 s^{14} t

Apply exponent rule:

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

t^{7} t = t^{7 + 1}

= 6 \cdot 7 s^{14} t^{7 + 1}

Add the numbers:

7 + 1 = 8

= 6 \cdot 7 s^{14} t^{8}

Multiply the numbers:

6 \cdot 7 = 42

= 42 s^{14} t^{8}

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Frequently Asked Questions (FAQ)

What is (6s^7t^7)(7s^7t) ?
The solution to (6s^7t^7)(7s^7t) is 42s^{14}t^8