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Popular >

simplify (2r^3s^2)(4r^2s^5)

Solution

simplify

(2 r^{3} s^{2}) (4 r^{2} s^{5})

Solution

8 r^{5} s^{7}

Solution steps

(2 r^{3} s^{2}) (4 r^{2} s^{5})

Apply exponent rule:

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

r^{3} r^{2} = r^{3 + 2}

= 2 s^{2} \cdot 4 r^{3 + 2} s^{5}

Add the numbers:

3 + 2 = 5

= 2 s^{2} \cdot 4 r^{5} s^{5}

Apply exponent rule:

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

s^{2} s^{5} = s^{2 + 5}

= 2 \cdot 4 r^{5} s^{2 + 5}

Add the numbers:

2 + 5 = 7

= 2 \cdot 4 r^{5} s^{7}

Multiply the numbers:

2 \cdot 4 = 8

= 8 r^{5} s^{7}

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Frequently Asked Questions (FAQ)

What is (2r^3s^2)(4r^2s^5) ?
The solution to (2r^3s^2)(4r^2s^5) is 8r^5s^7