Question

By what number should we multiply ( 3/5)⁸so thatproduct becomes (81/625)​

Answer 1

Step-by-step explanation:

(simplify) the end fraction.

Fraction: 3/5 already reduced to the lowest terms.

The numerator and denominator have no common prime factors.

Their prime factorization:

3 is a prime number, it cannot be factored into other prime factors;

5 is a prime number, it cannot be factored into other prime factors;

Fraction: 81/625 already reduced to the lowest terms.

The numerator and denominator have no common prime factors.

Their prime factorization:

81 = 34;

625 = 54;

Multiply the numerators and denominators of the fractions separately:

3/5 × 81/625 =

(3 × 81) / (5 × 625) =

(3 × 34) / (5 × 54) =

35 / 55