consider the expression 1.1(1.3)^{x + 4}. which of the following is an equivalent expression?\n1.1(1.3)^{4x}\…

consider the expression 1.1(1.3)^{x + 4}. which of the following is an equivalent expression?\n1.1(1.3)^{4x}\n1.1(1.3)^{\frac{x}{4}}\n\frac{1.1(1.3)^{x}}{1.3^{4}}\n1.1(1.3)^{4}(1.3)^{x}

consider the expression 1.1(1.3)^{x + 4}. which of the following is an equivalent expression?\n1.1(1.3)^{4x}\n1.1(1.3)^{\frac{x}{4}}\n\frac{1.1(1.3)^{x}}{1.3^{4}}\n1.1(1.3)^{4}(1.3)^{x}

Answer

Explanation:

Step1: Apply exponent - rule

Use the rule (a^{m + n}=a^{m}\times a^{n}). Here (a = 1.3), (m=x) and (n = 4), so ((1.3)^{x + 4}=(1.3)^{x}\times(1.3)^{4}). Then (1.1(1.3)^{x + 4}=1.1\times(1.3)^{x}\times(1.3)^{4}=1.1(1.3)^{4}(1.3)^{x}).

Answer:

1.1(1.3)^{4}(1.3)^{x}