What is anything to the power of negative 1?

What is anything to the power of negative 1?

Negative one is a special value for an exponent, because taking a number to the power of negative one gives its reciprocal: x−1=1x.

How do negative exponents become positive?

When we need to change a negative exponent to a positive one, we are supposed to write the reciprocal of the given number. So, the negative sign on an exponent indirectly means the reciprocal of the given number, in the same way as a positive exponent means the repeated multiplication of the base.

Do you add exponents when adding?

To add exponents, both the exponents and variables should be alike. You add the coefficients of the variables leaving the exponents unchanged. Only terms that have same variables and powers are added. This rule agrees with the multiplication and division of exponents as well.

Is there a more efficient method for raising a power to a power?

Products and Quotients Raised to Powers. The rules of exponents are very useful when simplifying and evaluating expressions. When multiplying, dividing, or raising a power to a power, using the rules for exponents helps to make the process more efficient.

What is the rule for negative exponents?

A negative exponent helps to show that a base is on the denominator side of the fraction line. In other words, the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa. For example, when you see x^-3, it actually stands for 1/x^3.

What is 3 by the power of 5?

Answer: The value of 5 raised to power of 3 is 53 = 125. Explanation: 53 = 5 × 5 × 5 = 125.

What is the rule for adding and subtracting exponents?

Remember, to add or subtract numbers that have exponents you must first make sure that the base and exponent of the two terms you are trying to add or subtract are the same. If they are the same, then all you have to do is add together their coefficients and keep the base and exponent the same.

What is 10 to the negative power of 7?

0.0000001
Answer: 10 to the power of negative 7 is equal to 0.0000001.