How do you multiply and divide variables with exponents?
To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.
How do you multiply variables with exponents?
When you multiply two variables or numbers that have the same base, you simply add the exponents. Thus x3*x4 = x3+4 = x7.
How do you divide exponents with different variables?
To divide them, you take the exponent value in the numerator (the top exponent) and subtract the exponent value of the denominator (the bottom exponent). Here that means we take 7 – 3 so our answer is x4.
How do exponent problems work?
To solve basic exponents, multiply the base number repeatedly for the number of factors represented by the exponent. If you need to add or subtract exponents, the numbers must have the same base and exponent.
Can you multiply exponents?
When you’re multiplying exponents, use the first rule: add powers together when multiplying like bases. 52 × 56 =? The bases of the equation stay the same, and the values of the exponents get added together. Adding the exponents together is just a shortcut to the answer.
How do you divide exponents with different bases?
Dividing exponents with different bases. When the bases are different and the exponents of a and b are the same, we can divide a and b first: a n / b n = (a / b) n. Example: 6 3 / 2 3 = (6/2) 3 = 3 3 = 3⋅3⋅3 = 27. When the bases and the exponents are different we have to calculate each exponent and then divide: a n / b m. Example:
Is there simpler way to multiply exponents?
Method 2 of 3: Multiplying Exponents with Different Bases Calculate the first exponential expression. Since the exponents have different bases, there is no shortcut for multiplying them. Calculate the second exponential expression. Do this by multiplying the base number by itself however many times the exponent says. Rewrite the problem using the new calculations. Multiply the two numbers.
How is multiplying and dividing different?
To multiply fractions, all you have to do is multiply the numerators and denominators and simplify the result. To divide fractions, you simply have to flip the numerator and denominator of one of the fractions, multiply the result by the other fraction, and simplify.
What are the division properties of exponents?
Dividing Numbers in Scientific Notation. Simplify (4 x 109) ÷ (16 x 106) and write the answer in scientific notation.