What is (2x^3y^4z^3)(4x^4y^4z^5) ?

The solution to (2x^3y^4z^3)(4x^4y^4z^5) is 8x^7y^8z^8

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simplify (2x^3y^4z^3)(4x^4y^4z^5)

simplify

(2 x^{3} y^{4} z^{3}) (4 x^{4} y^{4} z^{5})

8 x^{7} y^{8} z^{8}

Solution steps

(2 x^{3} y^{4} z^{3}) (4 x^{4} y^{4} z^{5})

Apply exponent rule:

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

x^{3} x^{4} = x^{3 + 4}

= 2 y^{4} z^{3} \cdot 4 x^{3 + 4} y^{4} z^{5}

Add the numbers:

3 + 4 = 7

= 2 y^{4} z^{3} \cdot 4 x^{7} y^{4} z^{5}

Apply exponent rule:

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

y^{4} y^{4} = y^{4 + 4}

= 2 z^{3} \cdot 4 x^{7} y^{4 + 4} z^{5}

Add the numbers:

4 + 4 = 8

= 2 z^{3} \cdot 4 x^{7} y^{8} z^{5}

Apply exponent rule:

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

z^{3} z^{5} = z^{3 + 5}

= 2 \cdot 4 x^{7} y^{8} z^{3 + 5}

Add the numbers:

3 + 5 = 8

= 2 \cdot 4 x^{7} y^{8} z^{8}

Multiply the numbers:

2 \cdot 4 = 8

= 8 x^{7} y^{8} z^{8}

\frac{( x - y ) ^{2}}{( x + y ) ^{2}}

75.3 x 1 0^{- 3}

(b)^{3}

e^{- 0.01} [0.3417 (0.5898) + 0.6583 (0.1923)]

4.5 E 28 e^{- \frac{200000}{8.314 \cdot 340.15}}

What is (2x^3y^4z^3)(4x^4y^4z^5) ?
The solution to (2x^3y^4z^3)(4x^4y^4z^5) is 8x^7y^8z^8