The given expression is 16g^5(8g^3)^2.

First, simplify the expression inside the parentheses.

(8g^3)^2 = 64g^6 (because (a^m)^n = a^(m*n) and (8^2)*(g^(3*2)) = 64g^6)

So, the expression becomes 16g^5 * 64g^6.

Next, multiply the coefficients (numbers) and add the exponents (since we are multiplying terms with the same base, we add the exponents according to the rule a^m * a^n = a^(m+n)).

16 * 64 = 1024

5 + 6 = 11

So, the simplified expression is 1024g^11.

Question

The given expression is 16g^5(8g^3)^2.

First, simplify the expression inside the parentheses.

(8g^3)^2 = 64g^6 (because (a^m)^n = a^(m*n) and (8^2)*(g^(3*2)) = 64g^6)

So, the expression becomes 16g^5 * 64g^6.

Next, multiply the coefficients (numbers) and add the exponents (since we are multiplying terms with the same base, we add the exponents according to the rule a^m * a^n = a^(m+n)).

16 * 64 = 1024

5 + 6 = 11

So, the simplified expression is 1024g^11.

Knowee AI · Accepted Answer

The given expression is 16g^5(8g^3)^2.

First, simplify the expression inside the parentheses.

(8g^3)^2 = 64g^6 (because (a^m)^n = a^(m*n) and (8^2)*(g^(3*2)) = 64g^6)

So, the expression becomes 16g^5 * 64g^6.

Next, multiply the coefficients (numbers) and add the exponents (since we are multiplying terms with the same base, we add the exponents according to the rule a^m * a^n = a^(m+n)).

16 * 64 = 1024

5 + 6 = 11

So, the simplified expression is 1024g^11.

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