What is (p^2r^3z^5)(p^3r^2z^4) ?

The solution to (p^2r^3z^5)(p^3r^2z^4) is r^5p^5z^9

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simplify (p^2r^3z^5)(p^3r^2z^4)

simplify

(p^{2} r^{3} z^{5}) (p^{3} r^{2} z^{4})

r^{5} p^{5} z^{9}

Solution steps

(p^{2} r^{3} z^{5}) (p^{3} r^{2} z^{4})

Apply exponent rule:

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

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

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

Add the numbers:

3 + 2 = 5

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

Apply exponent rule:

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

p^{2} p^{3} = p^{2 + 3}

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

Add the numbers:

2 + 3 = 5

= z^{5} p^{5} r^{5} z^{4}

Apply exponent rule:

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

z^{5} z^{4} = z^{5 + 4}

= p^{5} r^{5} z^{5 + 4}

Add the numbers:

5 + 4 = 9

= p^{5} r^{5} z^{9}

(8 + 2 x)^{- \frac{1}{3}}

e^{- 2 x} \cdot e^{3 x}

0.284 (2.5 \cdot 1 0^{- 13})

(4.5 \cdot 1 0^{4}) (2 \cdot 1 0^{3})

(x - 2)^{- 1}

What is (p^2r^3z^5)(p^3r^2z^4) ?
The solution to (p^2r^3z^5)(p^3r^2z^4) is r^5p^5z^9