What happens when an exponent is irrational?

Irrational exponents are non repeating or infinite decimals while rational exponents are rational numbers. The value of an irrational exponent when calculated is approximate in nature while the value of rational exponent is exact.

What happens when a negative number is raised to an odd power?

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).

Is negative for irrational?

Yes, rational and irrational numbers can be negative. Te only thing that is desired is that they could be mapped to a place on a real number line. Negative numbers are to the left of 0 on number line. By definition, rational numbers are a ratio of two integers p and q , where q is not equal to 0 .

What happens when irrational and irrational numbers are combined?

The sum of any rational number and any irrational number will always be an irrational number.

What happens to I when it is raised to an odd power?

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.

Can a negative number raised to a negative power ever be positive?

Statement is false. Result can be negative or positive it depends from the base and exponent. Very important to remember, if exponent is negative number, that base can’t be zero.

Can you raise a negative number to a power?

When you raise negative numbers to a power, their absolute value will increase normally, but the resulting number will be negative whenever the exponent is odd.

How do you solve raised powers?

When raising a power to a power in an exponential expression, you find the new power by multiplying the two powers together. For example, in the following expression, x to the power of 3 is being raised to the power of 6, and so you would multiply 3 and 6 to find the new power.

Can an irrational number be positive or negative?

Also, irrational numbers can be positive or negative.