What is (s^3r^2z^5)(s^2r^2z^2) ?

The solution to (s^3r^2z^5)(s^2r^2z^2) is r^4s^5z^7

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

simplify

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

r^{4} s^{5} z^{7}

Solution steps

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

Apply exponent rule:

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

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

= s^{3} z^{5} s^{2} r^{2 + 2} z^{2}

Add the numbers:

2 + 2 = 4

= s^{3} z^{5} s^{2} r^{4} z^{2}

Apply exponent rule:

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

s^{3} s^{2} = s^{3 + 2}

= z^{5} s^{3 + 2} r^{4} z^{2}

Add the numbers:

3 + 2 = 5

= z^{5} s^{5} r^{4} z^{2}

Apply exponent rule:

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

z^{5} z^{2} = z^{5 + 2}

= s^{5} r^{4} z^{5 + 2}

Add the numbers:

5 + 2 = 7

= s^{5} r^{4} z^{7}

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