Question

Simplify: (√4)^-7 . (√2)^-5.

Answer 1

Dear student,
these all are step done to simply the equation.

Hope you will understand the answer of your question.


Thanking you.

Answer 2

Concept

Expressions are simplified when they are rewritten in a concise and unique way, avoiding the use of similar phrases. When simplifying an expression, all like terms are combined, all given brackets are solved, if necessary, and only unlike terms that cannot be further reduced are left in the simplified expression. Applying the exponents' rules to the terms simplifies equations using exponents. For instance, the equation (3x)²(2x) can be written as 6x³.

Given

the expression is (√4)⁻⁷.(√2)⁻⁵

Find

we need to simplify the given expression.

Solution

from the given data,

(√4)⁻⁷.(√2)⁻⁵

= 2⁻⁷ (√2)⁻⁵

= 2⁻⁷ × 2⁻⁵/²

= 2⁻¹⁹/²

= (√2)⁻¹⁹

hence we get the final answer as (√2)⁻¹⁹

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