What value of x makes the equation true?

Mathematics

2 answers:

Alina [70]3 years ago

8 0

Answer:

X is 3

Step-by-step explanation:

You can make your equation simpler by solving the one on the right:

( -11 )^x times ( -11)^4 = ( -11 )^7

Then 7 - 4 is 3 so the exponent must be 3.

Stells [14]3 years ago

6 0

Answer:

x=3

Step-by-step explanation:

(-11)^x * (-11) ^4 = (-11)^10/ (-11)^3

We know a^b * a^c = a^(b+c)

(-11)^(x +4) = (-11)^10/ (-11)^3

We know a^b / a^c = a^(b-c)

(-11)^(x +4) = (-11)^(10 -3)

(-11)^(x +4) = (-11)^(7)

The bases are the same so the exponents are the same

x+4 = 7

Subtract 4 from each side

x+4-4 = 7-4

x =3

You might be interested in

The length of a swimming pool is 4 feet longer than 2 times its width. If the perimeter of the pool is 128 feet, what is the wid

alexandr1967 [171]

P = 2(L + W)
P = 128
L = 2W + 4

128 = 2(2W + 4 + W)
128 = 2(3W + 4)
128 = 6W + 8
128 - 8 = 6W
120 = 6W
120/6 = W
20 = W <=== width is 20 ft

L = 2W + 4
L = 2(20) + 4
L = 40 + 4
L = 44 <=== length is 44 ft

5 0

3 years ago

Robert is traveling to Mexico for a family vacation. He is bringing 625 U.S. dollars with him. Robert needs to exchange his mone

Evgesh-ka [11]

Robert should get D. 8281.25 pesos in exchange.

Explanation:

Robert is bringing 625 U.S. dollars with him to Mexico. He needs to exchange the money he has with him to Mexico's currency i.e. from U.S. dollars to Mexican pesos.
The exchange rate is 13.25 Mexican pesos for each U.S. dollar. So 1 U.S. dollar = 13.25 Mexican pesos.
So to calculate how much 625 U.S. dollars is in pesos we multiply 625 with the exchange rate i.e. 13.25 pesos 625 U.S dollars = 625 × 13.25 = 8281.25 Mexican pesos.