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Popular >

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

Solution

simplify

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

Solution

70 s^{6} t^{5}

Solution steps

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

Apply exponent rule:

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

s^{5} s = s^{5 + 1}

= 10 t \cdot 7 s^{5 + 1} t^{4}

Add the numbers:

5 + 1 = 6

= 10 t \cdot 7 s^{6} t^{4}

Apply exponent rule:

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

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

= 10 \cdot 7 s^{6} t^{1 + 4}

Add the numbers:

1 + 4 = 5

= 10 \cdot 7 s^{6} t^{5}

Multiply the numbers:

10 \cdot 7 = 70

= 70 s^{6} t^{5}

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Frequently Asked Questions (FAQ)

What is (10s^5t)(7st^4) ?
The solution to (10s^5t)(7st^4) is 70s^6t^5