Questions: Simplify. (y^3)^-3 Write your answer without using negative exponents.

Simplify. (y^3)^-3 Write your answer without using negative exponents.
Transcript text: MyHCC Aleks LTIA 1.3 https://www-awy.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNsIkr7j8P3jH-IBg Exponents and Polynomials Power of a power rule with negative exponents Simplify. \[ \left(y^{3}\right)^{-3} \] Write your answer without using negative exponents. $\square$ Explanation Check
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Solution

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Solution Steps

To simplify the expression (y3)−3(y^{3})^{-3} using the power of a power rule, you multiply the exponents. Then, to eliminate the negative exponent, take the reciprocal of the base raised to the positive exponent.

Step 1: Apply the Power of a Power Rule

Using the power of a power rule, we simplify the expression (y3)−3(y^{3})^{-3} by multiplying the exponents: (y3)−3=y3⋅(−3)=y−9 (y^{3})^{-3} = y^{3 \cdot (-3)} = y^{-9}

Step 2: Eliminate the Negative Exponent

To express the result without a negative exponent, we take the reciprocal of the base: y−9=1y9 y^{-9} = \frac{1}{y^{9}}

Final Answer

1y9 \boxed{\frac{1}{y^{9}}}

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