When dividing variable expressions with like bases it is appropriate to subtract the exponents.

Question

it true or false?

Answer 1

If b is the base and we have b^x divided by b^y the quotient is b^(x-y). The way to understand this is to write:

b*b*b*...*b (x b's multiplied together) = b^x and b*b*...*b (y b's multiplied together). Now divide and we end with b's cancelling out leaving (x-y) b's or (y-x) b's in the denominator which is 1/b^(y-x)=b^-(x-y). x and y can also be fractions, which is the basis of logarithms, because we add logs when we want to add and subtract when we want to divide. So the answer is true, even when b and its exponent are just one of a set of factors in the numerator or denominator.

Answer 2

need a distributive property for 6 times 11

Answer 3

true

Answer 4

10.00+9.00d=127

Answer 5

why is a parallelogram with congruent diagnals always a rectangle

Answer 6

The ratio of 7.7 to 5.5 is

Answer 7

n/2-40 = -124

Answer 8

a=10 and b= -9 and c=57: (b-c)/(2b-a)

Answer 9

×2+×(×-5)-×+7 =-5×2-×+7

Answer 10

2x+y=-11 in the slope - intercept form

Answer 11

Trueeeeeeeeeeeeeeeeeeeeeeee

Answer 12

10 times a number, decreased by 12

Answer 13

Yes, when dividing variable expressions with like bases, it is appropriate to subtract the exponents. This is known as the quotient property of exponents. It states that for any positive real numbers a and b, and any nonzero integers m and n, am ÷ an = am-n.

Here are some examples of how to apply the quotient property of exponents:

• x^5 ÷ x^2 = x^(5-2) = x^3.
• y^7 ÷ y^3 = y^(7-3) = y^4.
• z^10 ÷ z^4 = z^(10-4) = z^6.

The quotient property of exponents is a useful tool for simplifying algebraic expressions. It can also be used to solve equations that involve exponents.