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RUDIKE [14]
3 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]3 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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4 0
2 years ago
Given x : y: z = 5:1:3 and z - y = 28. find the value of x + y​
Vera_Pavlovna [14]

Answer:

x + y = 84

Step-by-step explanation:

Given

x : y : z = 5 : 1 : 3, then

\frac{x}{y} = 5 ( multiply both sides by y )

x = 5y ←

and \frac{y}{z} = \frac{1}{3} ( cross- multiply )

3y = z

Substitute z = 3y into z - y = 28

3y - y = 28

2y = 28 ( divide both sides by 2 )

y = 14 ← ←

Substitute y = 14 into x = 5y

x = 5 × 14 = 70 ← ←

Substitute y = 14 into z - y = 28

z - 14 = 28 ( add 14 to both sides )

z = 42 ← ←

Thus x = 70, y = 14 and z = 42

Hence x + y = 70 + 14 = 84

5 0
3 years ago
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