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RUDIKE [14]
2 years ago
10

Diego was trying to write 2^3 · 2^2 with a single exponent and wrote 2^3·2^2 = 2^3*2 = 2^6 . Explain to Diego what his mistake w

as and what the answer should be.
Mathematics
1 answer:
cupoosta [38]2 years ago
5 0

Answer:

2^3·2^2 = 2^3+2 = 2^5  

Step-by-step explanation:

Diego was trying to write 2^3 · 2^2

He wrote  2^3·2^2 = 2^3*2 = 2^6  

But this is wrong because when bases are same exponents are added.

This is the law of exponents.

The correct form would be

2^3·2^2 = 2^3+2 = 2^5  

For understanding it better we can write it like this

2^3·2^2 =

There are 3 two and 2 twos .When totaled there are 5 two not 6 twos.

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Jennie is training for a race. On Tuesday She finished her sprint 0.305 second faster than on Monday. be How can you explain the
disa [49]
Have Monday equal to the variable X
Monday = X
Tuesday is 0.305 faster therefore
Tuesday = x+0.305
4 0
2 years ago
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Safiya deposited money into a bank account that earned 6.5% simple interest each year. After 312 years, she had earned $36.40 in
Svetllana [295]

Answer: If the time is 3 1/2 years (most reasonable assumption)

Her initial deposit was $160

Step-by-step explanation:  The basic formula for simple interest is

<em>i = prt  i </em>is interest, P is principal (deposit) r is the percentage (converted to a decimal) and t is time, the number of years.

For this question, you have to rearrange the equation to solve for p.

So divide both sides by rt and you have

p =  i/rt

Substitute the values given

p = 36.40/(0.065)(3.5)

8 0
3 years ago
Simplify 31/2+1/8 I don't know how to do it
storchak [24]
When adding fractions, you want the denominators to be the same number, so you have to multiply 31/2 by four for the numerator and denominator by 4 to have the denominators to both be 8. So the fraction on the left will be 124/8 + 1/8 =129/8. That fraction is in its simplest form.
8 0
3 years ago
Tamia's family traveled 5/8 of the distance to her grandfather's house on Saturday. They traveled 1/3 of the remaining distance
antoniya [11.8K]

Answer:

2/8

Step-by-step explanation:

Tamila traveled 5/8 of the distance to her grandmother house on Saturday

They traveled 1/3 of the remaining distance on Sunday

Therefore the total distance traveled to her grandmother's house on Sunday can be calculated as follows

5+1

= 6

8-6

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Hence the distance travelled is 2/8

8 0
2 years ago
Suppose that 16 inches of wire cost 80 cents.
Karolina [17]

Answer:

11 inches

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you can cross multiply

inches cents

16 80

x 55

16×55 = 80x

80x= 880

x= 880/80

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7 0
2 years ago
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