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Popular >

simplify (yx)(y^2x^2)

Solution

simplify

(y \cdot x) (y^{2} \cdot x^{2})

Solution

y^{3} x^{3}

Solution steps

(y x) (y^{2} x^{2})

Apply exponent rule:

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

y y^{2} = y^{1 + 2}

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

Add the numbers:

1 + 2 = 3

= x y^{3} x^{2}

Apply exponent rule:

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

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

= y^{3} x^{1 + 2}

Add the numbers:

1 + 2 = 3

= y^{3} x^{3}

Popular Examples

simplify 200*(-1.6)*10^{-19}simplify

200 \cdot (- 1.6) \cdot 1 0^{- 19}

simplify 82(40(2pi))^2(4.1*10^{-3})simplify

82 (40 (2 π))^{2} (4.1 \cdot 1 0^{- 3})

simplify e^{-0.03}(0.55075*10.24+0.44925*50.27)simplify

e^{- 0.03} (0.55075 \cdot 10.24 + 0.44925 \cdot 50.27)

simplify (1/44000+1/6000)^{-1}*10*10^{-6}*555.556 simplify

(\frac{1}{44000} + \frac{1}{6000})^{- 1} \cdot 10 \cdot 1 0^{- 6} \cdot 555.556

simplify b^4(3ab^3)(2a^2b^5)simplify

b^{4} (3 a b^{3}) (2 a^{2} b^{5})

Frequently Asked Questions (FAQ)

What is (y*x)(y^2*x^2) ?
The solution to (y*x)(y^2*x^2) is y^3x^3