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Q. Evaluate.
- Identify Equation: Identify the equation and apply the property of exponents for multiplication.We have two terms with the same exponent, so we can combine them under the same exponent:(\(-7)^{\frac{}{}} \times \left(\frac{}{}\right)^{\frac{}{}} = \left[() \times \left(\frac{}{}\right)\right]^{\frac{}{}}
- Simplify Multiplication: Simplify the multiplication inside the brackets.
- Write Single Power: Write the simplified multiplication as a single power.
- Break Down Exponent: Break down the exponent into a whole number part and a fractional part.The exponent can be thought of as an exponent of (the cube root) followed by an exponent of (raising to the fifth power):
- Calculate Cube Root: Calculate the cube root of . The cube root of is , and the cube root of is , so:
- Raise to Fifth Power: Raise the result of the cube root to the fifth power.
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