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azamat
2 years ago
10

Simplify the expression below (2x)^3/4 • (2x)^4/3​

Mathematics
1 answer:
galina1969 [7]2 years ago
4 0

\dashrightarrow\sf(2x)^{ \frac{3}{4} }.(2x)^{ \frac{4}{3}}

\\  \\  \\

\dashrightarrow\sf(2x)^{ \frac{3}{4} } \times (2x)^{ \frac{4}{3}}

\\  \\  \\

\dashrightarrow\sf(2x)^{ \frac{3}{4} +  \frac{4}{3} }

\\  \\  \\

\dashrightarrow\sf(2x)^{\frac{\frac{3 \times 12}{4} +\frac{4 \times 12}{3}}{12}}

\\  \\  \\

\dashrightarrow\sf(2x)^{\frac{\frac{3 \times \cancel{12}}{\cancel4} +\frac{4 \times\cancel{12}}{\cancel3}}{12}}

\\  \\  \\

\dashrightarrow\sf(2x)^{\frac{\frac{3 \times 3}{1} +\frac{4 \times4}{1}}{12}}

\\  \\  \\

\dashrightarrow\sf(2x)^{\frac{3 \times 3+4 \times4}{12}}

\\  \\  \\

\dashrightarrow\sf(2x)^{\frac{9+16}{12}}

\\  \\  \\

\dashrightarrow\sf(2x)^{\frac{25}{12}}

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<em><u>Solution:</u></em>

<em><u>The formula for compound interest, including principal sum, is:</u></em>

A = p(1 + \frac{r}{n})^{nt}

Where,

A = the future value of the investment

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