Q. Simplify. Express your answer using a single exponent.(7y2)2
Apply power rule: Apply the power of a power rule.The power of a power rule states that when raising a power to another power, you multiply the exponents. In this case, we have (7y2)2, which means we need to apply the exponent of 2 to both 7 and y2.(7y2)2=72×(y2)2
Calculate 72: Calculate 72. 72 means 7 multiplied by itself, which is 49. 72=49
Calculate (y2)2: Calculate (y2)2. Using the power of a power rule, we multiply the exponents. Since the base is y and the exponents are both 2, we get y to the power of 2×2, which is y4. (y2)2=y(2∗2)=y4
Combine results: Combine the results.Now we combine the results from Step 2 and Step 3 to get the final simplified expression.(7y2)2=49×y4
More problems from Powers of a power: variable bases