Question

Evaluate the quantity 3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two. twenty-seven twenty fifths twenty-five twenty sevenths 59,049 over twenty-five twenty-five over 59,049

Answer 1

Answer:

Evaluate the quantity 3 squared times 3 to the power of negative 5 end quantity over 5 to the power of negative two.

twenty-seven twenty fifths

twenty-five twenty sevenths

59,049 over twenty-five

twenty-five over 59,049

Step-by-step explanation:

Answer 2

An expression is defined as a set of numbers, variables, and mathematical operations. The value of the given expression when simplified is equal to 25/27. The correct option is B.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be simplified as shown below,

(3²·3⁻⁵) / (5⁻²)

Using the rule of exponentials, x⁻ⁿ = 1/xⁿ,

= 3² · 3⁻⁵ · 5²

Using the rule of exponentials, mⁿ · mᵇ = m⁽ⁿ⁺ᵇ⁾,

= 3⁽²⁻⁵⁾ · 5²

= 3⁻³ · 5²

Using the rule of exponentials, x⁻ⁿ = 1/xⁿ,

= 5²/3³

= 25/27

Hence, the value of the given expression when simplified is equal to 25/27.

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