Question

evaluate (1/2)^5×(-2/3)^4××(3/5)^-1

Answer 1

Answer:

→ 5/486

This is the answer

Answer 2

Concept:

The amount of times a number has been multiplied by itself is shown by its exponent. The result of multiplying 8 by itself n times is represented as follows:

8 x 8 x 8 x 8... times equals 8ⁿ

The phrase 8ⁿ above is pronounced as 8 raised to the power n. As a result, exponents are also sometimes referred to as power or indices.

Examples:

2 × 2 x 2 x 2 = 2⁴

5 × 5 x 5 = 5³

10 × 10 x 10 x 10 x 10 x 10 = 10⁶

Laws of exponents

a⁻ⁿ =1/aⁿ

aⁿ⁺ˣ = aⁿ . aˣ

aⁿ⁻ˣ = aⁿ/aˣ

Given:

(1/2)⁵×(-2/3)⁴×(3/5)⁻¹

Find:

Evaluate (1/2)⁵×(-2/3)⁴×(3/5)⁻¹

Solution:

(1/2)⁵×(-2/3)⁴×(3/5)⁻¹

=1/32 x 16/81 x 5/3

=1/2 x 5/243

=5/489

Therefore, the answer is 5/489

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