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Popular >

simplify (10s^5t)(s^7t^4)

Solution

simplify

(10 s^{5} t) (s^{7} t^{4})

Solution

10 s^{12} t^{5}

Solution steps

(10 s^{5} t) (s^{7} t^{4})

Apply exponent rule:

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

s^{5} s^{7} = s^{5 + 7}

= 10 t s^{5 + 7} t^{4}

Add the numbers:

5 + 7 = 12

= 10 t s^{12} t^{4}

Apply exponent rule:

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

t t^{4} = t^{1 + 4}

= 10 s^{12} t^{1 + 4}

Add the numbers:

1 + 4 = 5

= 10 s^{12} t^{5}

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Frequently Asked Questions (FAQ)

What is (10s^5t)(s^7t^4) ?
The solution to (10s^5t)(s^7t^4) is 10s^{12}t^5