Simplify the following expression to simplest form using only positive exponents. (64x^(-18)y^(21))^((5)/(3)) Answer:

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Simplify the following expression to simplest form using only positive exponents.  (64x^(-18)y^(21))^((5)/(3)) Answer:

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Apply Power Rule: Apply the power to each factor inside the parentheses. We have the expression (64x^(-18)y^(21))^((5)/(3)). According to the properties of exponents, when we have a power raised to another power, we multiply the exponents. We will apply this rule to each factor inside the parentheses separately. (64^(5/3)) * (x^(-18 * 5/3)) * (y^(21 * 5/3))Calculate Exponent for x: Calculate the exponent for x. We need to multiply the exponent of x, which is -18, by 5/3. x^(-18 * 5/3) = x^(-30)Calculate Exponent for y: Calculate the exponent for y. We need to multiply the exponent of y, which is 21, by 5/3. y^(21 * 5/3) = y^(35)Simplify Exponent for 64: Simplify the exponent for 64. We need to calculate 64 raised to the power of 5/3. Since 64 is 4^3, we can rewrite this as (4^3)^(5/3). (4^3)^(5/3) = 4^(3 * 5/3) = 4^5Calculate 4^5: Calculate 4 raised to the power of 5. We need to calculate 4^5. 4^5 = 4 * 4 * 4 * 4 * 4 = 1024Rewrite with Positive Exponents: Rewrite the expression with positive exponents. We have x^(-30), which has a negative exponent. To make the exponent positive, we take the reciprocal of the base and change the sign of the exponent. x^(-30) = 1/x^(30) Now, we can rewrite the expression with only positive exponents: 1024 * (1/x^(30)) * y^(35)Combine for Final Expression: Combine all the parts to write the final simplified expression. The final simplified expression is: 1024 * y^(35) / x^(30)

Simplify the following expression to simplest form using only positive exponents. $\newline$ $\left(64 x^{-18} y^{21}\right)^{\frac{5}{3}}$ $\newline$ Answer:

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Simplify the following expression to simplest form using only positive exponents.\newline(64x−18y21)53 \left(64 x^{-18} y^{21}\right)^{\frac{5}{3}} (64x−18y21)35​\newlineAnswer:

Simplify the following expression to simplest form using only positive exponents. $\newline$ $\left(64 x^{-18} y^{21}\right)^{\frac{5}{3}}$ $\newline$ Answer: