Question

simplify to get the answer as a simple rational number: [3/8]^3×[4/9]^3​

Answer 1

Answer:

[3/8]^3 ×[4/9]^3

[3×4/8×9]^3

[1/6]^3

Step-by-step explanation:

Answer 2

ANSWER:

• The value of above expression = 1/216.

GIVEN:

$( \dfrac{3}{8} ) {}^{3} \times ( \dfrac{4}{9} ) {}^{3}$

TO FIND:

• The value of above expression.

SOLUTION:

$= ( \dfrac{3}{8} ) {}^{3} \times ( \dfrac{4}{9} ) {}^{3} \\ \\ = ( \frac{3}{8} \times \frac{4}{9} ) {}^{3} \\ \\ \: \: \: converting \: into \: lowest \: form \: we \: get. \\ \\ = ( \frac{1}{6} ) {}^{3} \\ \\ = \frac{1}{6} \times \frac{1}{6} \times \frac{1}{6} \\ \\ = \frac{1}{36} \times \frac{1}{6} \\ \\ = \frac{1}{216}$

• The value of above expression = 1/216.

NOTE:

some important formulas:

$\implies \: a {}^{x} \times b {}^{x} = (ab) {}^{x} \\ \\ \implies \: a {}^{x} \times a {}^{y} = a {}^{x + y} \\ \\ \implies \: a {}^{x} \div a {}^{y} = a {}^{x - y}$