# How do you calculate fractional powers?

## How do you calculate fractional powers?

A fractional exponent is a technique for expressing powers and roots together. The general form of a fractional exponent is: b n/m = (m √b) n = m √ (b n), let us define some the terms of this expression. The index or order of the radical is the number indicating the root being taken.

What do fractional exponents mean?

If an exponent of a number is a fraction, it is called a fractional exponent. Exponents show the number of times a number is replicated in multiplication. For example, 42 = 4×4 = 16. In the number, say x1/y, x is the base and 1/y is the fractional exponent.

What are the seven rules for exponents?

Multiplying Powers with same Base. In multiplication of exponents if the bases are same then we need to add the exponents.

• Dividing Powers with the same Base. In division if the bases are same then we need to subtract the exponents.
• Power of a Power.
• Multiplying Powers with the same Exponents.
• Negative Exponents.
• Power with Exponent Zero.
• ### How do you multiply fractional exponents?

Fraction Exponent Rules: Multiplying Fractional Exponents With the Same Base. Multiply terms with fractional exponents (provided they have the same base) by adding together the exponents. For example: x 1/3 × x 1/3 × x 1/3 = x (1/3 + 1/3 + 1/3)

How to get rid of fraction exponents?

How To Get Rid Of Fractional Exponent How to Get Rid of Exponents in an Algebraic Equation Simplify and Combine Like Terms. Examine the fraction. Rewrite the exponent as a multiplication expression. What you do in simple equations is take the square root (or cube root or 4th root or whatever root corresponds to the degree of the exponent) of both sides

What are the rules adding and subtracting exponents?

Adding exponents and subtracting exponents really doesn’t involve a rule . If a number is raised to a power, add it to another number raised to a power (with either a different base or different exponent) by calculating the result of the exponent term and then directly adding this to the other.