Question

(4^3)^-2*^3)^4*8/15^-2

Answer 1

Step-by-step explanation:

The executed operation (with ordinary fractions):

3/4 × - 8/15

Rewrite the equivalent simplified operation:

Combine the signs of the fractions into a single one, placed in front of the expression.

3/4 × - 8/15 =

- 3/4 × 8/15

Reduce (simplify) fractions to their lowest terms equivalents:

Factor all the numbers in order to easily reduce (simplify) the end fraction.

Fraction: 3/4 already reduced to the lowest terms.

The numerator and the denominator have no common prime factors.

Their prime factorization:

3 is a prime number;

4 = 22;

Fraction: 8/15 already reduced to the lowest terms.

The numerator and the denominator have no common prime factors.

Their prime factorization:

8 = 23;

15 = 3 × 5;