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(Laws of Exponents with Integer Exponents MC)

Evaluate the quantity 2 squared times 2 to the power of negative 5 end quantity over 5 to the power of negative two.

1,024 over twenty-five
twenty-five over 1,024
twenty-five eighths
eight over twenty-five

Respuesta :

abidemiokin

The simplified form of the indices expression is twenty-five eighths

Indices expressions

Indices are expressions that consists of base and exponents

Given the expression below;

(2²×2⁻⁵)/5²

Simplify the numerator to have:

2²×2⁻⁵ = 4 * 1/2^5
2²×2⁻⁵ = 4 * 1/32

2²×2⁻⁵ = 1/8

2²×2⁻⁵ = 2^-3

Therefore;

(2²×2⁻⁵)/5^-2 = 1/8 * 25

(2²×2⁻⁵)/5² = 25/8

Hence the simplified form of the indices expression is twenty-five eighths

learn more on indices here: https://brainly.com/question/10339517

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