What is (7x^2y^3z^4)(x^4y^3z) ?

The solution to (7x^2y^3z^4)(x^4y^3z) is 7x^6y^6z^5

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simplify (7x^2y^3z^4)(x^4y^3z)

simplify

(7 x^{2} y^{3} z^{4}) (x^{4} y^{3} z)

7 x^{6} y^{6} z^{5}

Solution steps

(7 x^{2} y^{3} z^{4}) (x^{4} y^{3} z)

Apply exponent rule:

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

x^{2} x^{4} = x^{2 + 4}

= 7 y^{3} z^{4} x^{2 + 4} y^{3} z

Add the numbers:

2 + 4 = 6

= 7 y^{3} z^{4} x^{6} y^{3} z

Apply exponent rule:

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

y^{3} y^{3} = y^{3 + 3}

= 7 z^{4} x^{6} y^{3 + 3} z

Add the numbers:

3 + 3 = 6

= 7 z^{4} x^{6} y^{6} z

Apply exponent rule:

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

z^{4} z = z^{4 + 1}

= 7 x^{6} y^{6} z^{4 + 1}

Add the numbers:

4 + 1 = 5

= 7 x^{6} y^{6} z^{5}

- 2 x^{2} y^{2}

⎩ ⎨ ⎧ [(\frac{2 ^{3}}{5 ^{3}})^{- 3}]^{2} ⎭ ⎬ ⎫^{- \frac{1}{9}}

45.1 \times 1 0^{- 5}

\frac{3}{100} e^{- \frac{3 ( 400 )}{800}}

What is (7x^2y^3z^4)(x^4y^3z) ?
The solution to (7x^2y^3z^4)(x^4y^3z) is 7x^6y^6z^5