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3 years ago

Select all that are equal to 5^3*5^-7

Mathematics

2 answers:

erma4kov [3.2K]3 years ago

8 0

Answer:

5^3*5^-7 = 1/5^4 b. is true = 625

5^3*5^-7 = 5^-4 c. is true = 625

Step-by-step explanation:

b. Left hand side

Simplify the following:

5^3/5^7

Combine powers. 5^3/5^7 = 5^(3 - 7):

5^(3 - 7)

3 - 7 = -4:

5^(-4)

5^4 = (5^2)^2:

1/(5^2)^2

5^2 = 25:

1/25^2

| 2 | 5

× | 2 | 5

1 | 2 | 5

5 | 0 | 0

6 | 2 | 5:

Answer: 1/625

Right hand side:

Simplify the following:

1/5^4

5^4 = (5^2)^2:

1/(5^2)^2

5^2 = 25:

1/25^2

| 2 | 5

× | 2 | 5

1 | 2 | 5

5 | 0 | 0

6 | 2 | 5:

Answer: 1/625

_____________________________

c. Left hand side (see above)

Right hand side:

Simplify the following:

5^(-4)

5^4 = (5^2)^2:

1/(5^2)^2

5^2 = 25:

1/25^2

| 2 | 5

× | 2 | 5

1 | 2 | 5

5 | 0 | 0

6 | 2 | 5:

Answer: 1/625

podryga [215]3 years ago

4 0

Answer:

The answers are B and C. The other person is wrong.

Step-by-step explanation:

You might be interested in

–3(5y – 4) ≥ 17 Solve and graph on a number line thanks

likoan [24]

Answer:

$y\leq 1.93$

Step-by-step explanation:

To know the value that y takes according to the inequation $-3(5y-4)\geq 17$ , we must do some algebra.
First of all, we divide both terms by (-3), wich would change the direction of the inequality, as follow: $(5y-4)\leq\frac{17}{(-3)}$ (at this point you should remember that dividing or multiplying an inequation by anegative number changes the direction of the inequality)..
This means that $(5y-4)\leq 5.67$ . Then,we just have to add both sides 4, which yields $5y\leq 5.67+4$ .
Then $5y\leq 9.67$ , which means that, if we divide both sides by 5, we obtain the value of y: $y\leq 1.93$ (in this case, the direction of inequality does not change because 5 is possitive).