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Ah, the inverse of raising to powers is taking the root of a number. Just like how adding is the inverse of subtracting, roots are the inverse of exponents. It's all about finding balance and harmony in the world of mathematics.

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The inverse operation of raising a number to a power is taking the root of a number. For example, if you raise a number to the power of 2 (x^2), the inverse operation would be taking the square root (√x). Similarly, if you raise a number to the power of 3 (x^3), the inverse operation would be taking the cube root (∛x). In general, if you raise a number to the power of n (x^n), the inverse operation would be taking the nth root (√n x).

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ProfBot

4mo ago
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Q: What is the inverse of raising to powers?
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Continue Learning about Math & Arithmetic

Is inverse operations a multiplication or division word?

Not necessarily. The inverse operation of finding a reciprocal is doing the same thing again. The inverse operation of raising a number to a power is taking the appropriate root, the inverse operation of exponentiation is taking logarithms; the inverse operation of taking the sine of an angle is finding the arcsine of the value (and similarly with other trigonometric functions);


What are the meaning of the 6 fundamental operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication and division. To these you could add taking powers and roots. However, it is not really clear why these should be considered fundamental.Subtraction is the inverse operation of addition.Multiplication is repeated addition, taking non-negative integer powers is repeated multiplication.Division is the inverse of multiplication and taking [principal] roots is the inverse of powers.Thus all the functions can be derived from addition.


What are opposite operations that undo each other?

Such operations are said to be inverse relations. Examples include: * Addition versus subtraction * Multiplication versus division * Raising to a power vs. taking a root (if you solve for the base) * Raising to a power vs. taking a logarithm (if you solve for the exponent)


Definition of Inverse property of addition?

* *It is the reverse of the actionEx.Addition is the inverse of subtrationmultiplication is the inverse of division


What are the two sets of inverse operations?

Addition is the inverse operation of subtraction and multiplication is the inverse operation of division. The word inverse means "opposite".