# Is a negative number raised to an odd power negative?

## Is a negative number raised to an odd power negative?

Note the pattern: A negative number taken to an even power gives a positive result (because the pairs of negatives cancel), and a negative number taken to an odd power gives a negative result (because, after cancelling, there will be one minus sign left over).

## When I is raised to an odd power the result is?

Soon! If we raise a negative number/expression to an odd power, then the negative sign of the number/expression is moved the front of the power.

What happens when we raise an even number to an odd power?

If the power is even → the answer is positive, If the power is odd → the answer is negative.

What happens when you raise a negative number?

Negative exponents denote a reciprocal value. A number raised to a negative power is equal to one over the number raised to the positive opposite power.

### What is a negative raised to an odd exponent?

Negative numbers raised to odd powers remain negative. Negative numbers raised to even powers become positive.

### What is negative one to the power?

The “minus one” power on the x means that I’ll need to move that x to the other side of the fraction line. But the “minus” on the 5 means only that the 5 is negative.

What is the negative number raised to an odd power?

What is raised to any power?

Any number raised to the power of one equals the number itself.

#### Do you think a negative number raised to an even power will be positive or negative?

Negative numbers with exponents If the base is negative and the exponent is an even number, the final product will always be a positive number. If the base is negative and the exponent is an odd number, the final product will always be a negative number.

#### What does a negative power mean?

The negative sign on an exponent means the reciprocal. Think of it this way: just as a positive exponent means repeated multiplication by the base, a negative exponent means repeated division by the base. So 2^(-4) = 1/(2^4) = 1/(2*2*2*2) = 1/16. The answer is 1/16.