Express the following fraction in simplest form, only using positive exponents. (20w^(7))/(-4(w^(2)b)^(4)) Answer:

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Express the following fraction in simplest form, only using positive exponents.  (20w^(7))/(-4(w^(2)b)^(4)) Answer:

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Simplify Denominator: First, we need to simplify the denominator. The expression (-4(w^(2)b)^(4)) involves a power of a product, so we apply the power to both the coefficient and the variables inside the parentheses. (-4(w^(2)b)^(4)) = (-4)^4 * (w^(2))^4 * b^4Calculate Powers: Now we calculate the powers of each term in the denominator. (-4)^4 = 256 because (-4) multiplied by itself 4 times is 256. (w^(2))^4 = w^(2*4) = w^8 because when you raise a power to a power, you multiply the exponents. b^4 remains the same. So the denominator becomes 256 * w^8 * b^4.Divide Numerator by Denominator: Next, we divide the numerator by the denominator. We have 20w^7 in the numerator and 256w^8b^4 in the denominator. (20w^7) / (256w^8b^4) We can simplify this by dividing the coefficients and subtracting the exponents of like bases. 20 / 256 reduces to 5 / 64 after dividing both by 4. w^7 / w^8 reduces to 1 / w because w^7 divided by w^8 is w^(7-8). The b term only appears in the denominator, so it remains as b^4.Put Together Simplified Expression: Putting it all together, we get the simplified expression: (5 / 64) * (1 / w) * (1 / b^4) This simplifies to: 5 / (64w * b^4)

Express the following fraction in simplest form, only using positive exponents. $\newline$ $\frac{20 w^{7}}{-4\left(w^{2} b\right)^{4}}$ $\newline$ Answer:

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Express the following fraction in simplest form, only using positive exponents. $\newline$ $\frac{20 w^{7}}{-4\left(w^{2} b\right)^{4}}$ $\newline$ Answer: