$$ \left(\frac{1.8}{1.6} ight)^{4} \quad \begin{array}{l} ext { - Quotient of Powetient Lav } \ ext { : Power of a Quotion Exponent Law }\end{array} $$

Question

$$ \left(\frac{1.8}{1.6}ight)^{4} \quad \begin{array}{l}	ext { - Quotient of Powetient Lav } \ 	ext { : Power of a Quotion Exponent Law }\end{array} $$

UpStudy AI · Accepted Answer

The simplified result is approximately $$ 1.60 $$. To simplify the expression $$ \left(\frac{1.8}{1.6}\right)^{4} $$ using the power of a quotient exponent law, we can apply the following rule: $$ \left(\frac{a}{b}\right)^{n} = \frac{a^{n}}{b^{n}} $$ In this case, $$ a = 1.8 $$, $$ b = 1.6 $$, and $$ n = 4 $$. Therefore, we can rewrite the expression as: $$ \left(\frac{1.8}{1.6}\right)^{4} = \frac{(1.8)^{4}}{(1.6)^{4}} $$ Now, we can calculate $$ (1.8)^{4} $$ and $$ (1.6)^{4} $$: 1. Calculate $$ (1.8)^{4} $$: $$ (1.8)^{4} = 1.8 \times 1.8 \times 1.8 \times 1.8 = 10.4976 $$ 2. Calculate $$ (1.6)^{4} $$: $$ (1.6)^{4} = 1.6 \times 1.6 \times 1.6 \times 1.6 = 6.5536 $$ Now, substitute these values back into the fraction: $$ \frac{(1.8)^{4}}{(1.6)^{4}} = \frac{10.4976}{6.5536} $$ Now, perform the division: $$ \frac{10.4976}{6.5536} \approx 1.60 $$ Thus, the simplified result of $$ \left(\frac{1.8}{1.6}\right)^{4} $$ is approximately $$ 1.60 $$.

\( \left(\frac{1.8}{1.6}\right)^{4} \quad \begin{array}{l}\text { - Quotient of Powetient Lav } \\ \text { : Power of a Quotion Exponent Law }\end{array} \)

UpStudy ThothAI Solution

Step-by-step Solution

Quick Answer

\( \left(\frac{1.8}{1.6}\right)^{4} \quad \begin{array}{l}\text { - Quotient of Powetient Lav } \\ \text { : Power of a Quotion Exponent Law }\end{array} \)

UpStudy ThothAI Solution

Step-by-step Solution

Quick Answer

Related Questions