Question

(4.8)^3 + (3.2)^3 ÷ (4.8)^3 - (4.8)^3 (3.2) + (3.2)^2 ???​

Answer 1

Answer:

Step-by-step explanation:

4.8^3+ 3.2^3/4.8^3 - (4.8^3)(3.2) + 3.2^2= -232.766104

Answer 2

Concept:

An exponent refers to the amount of times variety is multiplied by itself. a lover may be a number or letter written above and to the proper of a mathematical expression called the bottom.

Given:

The given expression is $\frac{(4.8)^{3}+(3.2)^{3}}{(4.8)^3-(4.8)^3(3.2)+(3.2)^2}$.

Find:

We have to simplify the given expression.

Solution:

The expression is $\frac{(4.8)^{3}+(3.2)^{3}}{(4.8)^3-(4.8)^3(3.2)+(3.2)^2}$.

Here will apply the exponent rule that's $a^{n}=a\times a\times a\times \ldots \ldots \times a$.

Firstly, we are going to apply the exponent rule out the numerator, we get

$\begin{aligned}\frac{(4.8)^{3}+(3.2)^{3}}{(4.8)^3-(4.8)^3(3.2)+(3.2)^2}&=\frac{(4.8)\times (4.8)\times (4.8)+(3.2)\times (3.2)\times (3.2)}{(4.8)^3-(4.8)^3(3.2)+(3.2)^2}\\ &=\frac{110.592+32.768}{(4.8)^3-(4.8)^3(3.2)+(3.2)^2}\end$

Now, we'll apply the exponent rule the denominator, we get

$\begin{aligned}\frac{(4.8)^{3}+(3.2)^{3}}{(4.8)^3-(4.8)^3(3.2)+(3.2)^2}&=\frac{110.592+32.768}{(4.8)\times (4.8)\times (4.8)-(4.8)\times (4.8)\times (4.8)\times (3.2)+(3.2)\times (3.2)}\\ &=\frac{110.592+32.768}{110.592-353.8944+10.24}\end$

Further, we are going to simplify the numerator and denominator by adding and subtraction, we get

$\begin{aligned}\frac{(4.8)^{3}+(3.2)^{3}}{(4.8)^3-(4.8)^3(3.2)+(3.2)^2}&=\frac{143.36}{-233.0624}\end$

Furthermore, we'll divide numerator and denominator, we get

$\frac{(4.8)^{3}+(3.2)^{3}}{(4.8)^3-(4.8)^3(3.2)+(3.2)^2}=-0.615$

Hence, the simplification of $\frac{(4.8)^{3}+(3.2)^{3}}{(4.8)^3-(4.8)^3(3.2)+(3.2)^2}$ is $-0.615$.

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