How do you add fractions with different denominators?

How do you add fractions with different denominators?

If the denominators are not the same, then you have to use equivalent fractions which do have a common denominator . To do this, you need to find the least common multiple (LCM) of the two denominators. To add fractions with unlike denominators, rename the fractions with a common denominator. Then add and simplify.

What is the rule for exponents?

Product Rule: am ∙ an = am + n, this says that to multiply two exponents with the same base, you keep the base and add the powers. , this says that to divide two exponents with the same base, you keep the base and subtract the powers.

What is the rule for a power to a power?

The “power rule” tells us that to raise a power to a power, just multiply the exponents. Here you see that 52 raised to the 3rd power is equal to 56. The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.

How do you solve exponents with powers?

The exponent corresponds to the number of times the base will be multiplied by itself. Therefore, if two powers have the same base then we can multiply these two powers. When we multiply two powers, we will add their exponents. If two powers have the same base then we can divide the powers also.

What are the 3 laws of exponents?

Rule 1: To multiply identical bases, add the exponents. Rule 2: To divide identical bases, subtract the exponents. Rule 3: When there are two or more exponents and only one base, multiply the exponents.

What is the second power of 3?

Powers and exponents

31 3 to the first power 3
42 4 to the second power or 4 squared 4 ∙ 4
53 5 to the third power or 5 cubed 5 ∙ 5 ∙ 5
26 2 to the power of six 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2 ∙ 2

What does 4 with a little 2 mean?

4×4

What is the square of 8 to the power of 2?

64

What is the power of two?

A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent. Written in binary, a power of two always has the form 100…000 or 0.00…001, just like a power of 10 in the decimal system.