Properties

Terms

The power (p) is obtained by multiplying the base (b) by the number of times indicated by the exponent (n).

Definition

If the values: b1, b2, b3, to bn are equal; then, the product of the series is equal to the power bn.

Negative Exponent

A negative exponent indicates the reciprocal of a value. Moving a value to the other side of a fraction bar is the same as multiplying its exponent by a negative one (-1).

Power of Zero

Any value (other than zero) taken to the power of zero is equal to 1. This represents a product with no factors (only the multiplicative identity remains).

Base of Zero (Positive)

Zero taken to a positive (n=0) power is zero. This is the equivalent to multiplying zero by itself n times.

Base of Zero (Negative)

Zero taken to a negative (n<0) power is the same as dividing by zero, which is not a real number.

Power of One

A value with a power of one equals itself.

Base of One

One taken to any power is one.

Root

A root represents the opposite operation from exponentiation. Taking the nth root of a value is the same as raising it to the 1/nth power. Learn more about roots at Arithmetic: Roots.

Scientific Notation

Scientific notation makes it easier to comprehend very large and small values by coupling the significant digits with a power of ten.

Common Powers

Exercises

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