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Popular >

simplify (5x^2)(5x^3)

Solution

simplify

(5 x^{2}) (5 x^{3})

Solution

25 x^{5}

Solution steps

(5 x^{2}) (5 x^{3})

Apply exponent rule:

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

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

= x^{2} \cdot 5^{1 + 1} x^{3}

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 3 = 5

= 5^{2} x^{5}

5^{2} = 25

= 25 x^{5}

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Frequently Asked Questions (FAQ)

What is (5x^2)(5x^3) ?
The solution to (5x^2)(5x^3) is 25x^5