Question

Rewrite each of the following expressione by grouping together Those with equal exponets to appear under a single exponents:2a)^5 * a^6 .

Answer 1

To rewrite the expression (2a)^5 * a^6 by grouping together those with equal exponents, expand the expression inside the parentheses. Then, multiply the digit terms and add the exponents. Finally, simplify the expression to get 32a^11.

Step-by-step explanation:

To rewrite the expression (2a)^5 * a^6 by grouping together those with equal exponents, we first need to expand the expression inside the parentheses. Applying the rule of multiplication of exponentials, we multiply the digit terms, which is 2^5 (2 raised to the power of 5), and add the exponents of the exponential terms, which is a^5 (a raised to the power of 5). This can be written as 2^5 * a^5 * a^6. To simplify further, we add the exponents of a, which is a^11 (a raised to the power of 11). Therefore, the expression becomes 32a^11.