enter the correct answer in the box. simplify the expression $x^{5}cdot x^{7}$.

enter the correct answer in the box. simplify the expression $x^{5}cdot x^{7}$.

enter the correct answer in the box. simplify the expression $x^{5}cdot x^{7}$.

Answer

Explanation:

Step1: Recall exponent - rule

When multiplying two terms with the same base (a^m\cdot a^n=a^{m + n}), here (a = x), (m = 5), and (n=7). [x^{5}\cdot x^{7}=x^{5 + 7}]

Step2: Calculate the exponent sum

[5+7 = 12] So (x^{5}\cdot x^{7}=x^{12})

Answer:

(x^{12})