Respuesta :
An expression is defined as a set of numbers, variables, and mathematical operations. The given expression (4⁻²)⁵ can be simplified as 1/1048576 or 1048576 ⁻¹ or 4⁻¹⁰.
What is power?
Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.
The given expression (4⁻²)⁵ can be simplified as shown below.
(4⁻²)⁵
= (1/4²)⁵
= (1/16)⁵
= 1⁵/16⁵
= 1 / 1048576
It can also be rewritten in the form of exponents as,
(4⁻²)⁵
= 4⁽⁻²ˣ⁵⁾
= 4⁻¹⁰
Hence, the given expression (4⁻²)⁵ can be simplified as 1/1048576 or 1048576 ⁻¹ or 4⁻¹⁰.
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