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Explain how the power of a power property can be used to simplify the expression ((x^2)^3).
Explain how the power of a power property can be used to simplify the expression ((x^2)^3).
The expression simplifies to (x^{2 \cdot 3} = x^6) using the power of a power property.
What is the simplified form of (\frac{a^5}{a^{2}}) using the quotient of powers property?
What is the simplified form of (\frac{a^5}{a^{2}}) using the quotient of powers property?
Using the quotient of powers property, the expression simplifies to (a^{5-2} = a^3).
Convert the rational exponent expression (27^{\frac{2}{3}}) into radical form.
Convert the rational exponent expression (27^{\frac{2}{3}}) into radical form.
The expression can be written as (\sqrt[3]{27^2}) or (\left(\sqrt[3]{27}\right)^2).
If (\sqrt{x+8} = 4), what is the value of (x) after solving the equation?
If (\sqrt{x+8} = 4), what is the value of (x) after solving the equation?
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How can you simplify the expression (x^{\frac{2}{5}} \cdot x^{\frac{3}{5}})?
How can you simplify the expression (x^{\frac{2}{5}} \cdot x^{\frac{3}{5}})?
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What is the result of applying the negative exponent property to the expression $a^{-3}$?
What is the result of applying the negative exponent property to the expression $a^{-3}$?
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How would you simplify the expression $\frac{b^4}{b^2}$ using the quotient of powers property?
How would you simplify the expression $\frac{b^4}{b^2}$ using the quotient of powers property?
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How can you express the rational exponent $16^{\frac{1}{4}}$ in radical form?
How can you express the rational exponent $16^{\frac{1}{4}}$ in radical form?
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What is the simplified expression for $(xy)^{3}$ using the power of a product property?
What is the simplified expression for $(xy)^{3}$ using the power of a product property?
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If $x^{\frac{5}{2}} = 27$, what is the value of $x$?
If $x^{\frac{5}{2}} = 27$, what is the value of $x$?
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How would you simplify $\left(\frac{2}{3}\right)^{-2}$?
How would you simplify $\left(\frac{2}{3}\right)^{-2}$?
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What value does $a^0$ take for any non-zero value of $a$?
What value does $a^0$ take for any non-zero value of $a$?
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Describe the steps involved in solving the radical equation $\sqrt{x-1} = 3$.
Describe the steps involved in solving the radical equation $\sqrt{x-1} = 3$.
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What is the result of $\left(a^{2}\right)^{4}$ using the power of a power property?
What is the result of $\left(a^{2}\right)^{4}$ using the power of a power property?
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How do you simplify the expression $x^{\frac{3}{4}} \cdot x^{\frac{1}{4}}$?
How do you simplify the expression $x^{\frac{3}{4}} \cdot x^{\frac{1}{4}}$?
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