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Popular >

simplify (5x^3)(5x^4)

Solution

simplify

(5 x^{3}) (5 x^{4})

Solution

25 x^{7}

Solution steps

(5 x^{3}) (5 x^{4})

Apply exponent rule:

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

5 \cdot 5 = 5^{1 + 1}

= x^{3} \cdot 5^{1 + 1} x^{4}

Add the numbers:

1 + 1 = 2

= x^{3} \cdot 5^{2} x^{4}

Apply exponent rule:

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

x^{3} x^{4} = x^{3 + 4}

= 5^{2} x^{3 + 4}

Add the numbers:

3 + 4 = 7

= 5^{2} x^{7}

5^{2} = 25

= 25 x^{7}

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Frequently Asked Questions (FAQ)

What is (5x^3)(5x^4) ?
The solution to (5x^3)(5x^4) is 25x^7