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Popular >

simplify 3pix^2z*(-3)xz^2

Solution

simplify

3 π x^{2} z \cdot (- 3) x z^{2}

Solution

- 9 π x^{3} z^{3}

Solution steps

3 π x^{2} z (- 3) x z^{2}

Apply exponent rule:

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

x^{2} x = x^{2 + 1}

= 3 π z (- 3) x^{2 + 1} z^{2}

Add the numbers:

2 + 1 = 3

= 3 π z (- 3) x^{3} z^{2}

Apply exponent rule:

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

z z^{2} = z^{1 + 2}

= 3 π (- 3) x^{3} z^{1 + 2}

Add the numbers:

1 + 2 = 3

= 3 π (- 3) x^{3} z^{3}

Remove parentheses:

(- a) = - a

= - 3 π 3 x^{3} z^{3}

Multiply the numbers:

3 \cdot 3 = 9

= - 9 π x^{3} z^{3}

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Frequently Asked Questions (FAQ)

What is 3pix^2z*(-3)xz^2 ?
The solution to 3pix^2z*(-3)xz^2 is -9pix^3z^3