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JulijaS [17]
3 years ago
12

Simplify the expression 2³ × 2² A. 4⁵ B. 2⁶ C. 4⁶ D. 2⁵

Mathematics
2 answers:
FrozenT [24]3 years ago
5 0

Answer: 2^{5}

Explanation: I have written this problem on the whiteboard.

For the problem on the board, since our two powers have like bases of 2, we can multiply them together by simply adding their exponents.

So 2³ · 2² is just 2^{5}.

A common mistake in this problem would

be for students to say that  2³ · 2² is 4^{5}.

It's important to understand however that when applying your

exponent rules, your base in this case 2 will not change.

mixer [17]3 years ago
3 0

Answer:

2^5

Step-by-step explanation:

The base is the same

2^3 * 2^2

We are multiplying, so we can add the exponents

2^3 * 2^2 = 2^(3+2) = 2^5

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By what number (5/4)^6 should be divided to get (25/16)^8?
Naya [18.7K]

Answer:

X=(5/4)^-10

Step-by-step explanation:

(5/4)^6÷x=(25/16)^8

(5/4)^6÷x=(5/4)^16

1/X==(5/4)^16÷(5/4)^6

X=(5/4)^6÷(5/4)^16

X=(5/4)^-10

So the value of X is (5/4)^-10

6 0
3 years ago
How do you solve this following inequality? T+6>-4
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T+6>-4
T -6>-6
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7 0
3 years ago
If sum of the perpendicular distances of a variable point P (x, y) from the lines x + y – 5 = 0 and 3x – 2y + 7 = 0 is always 10
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3 0
3 years ago
The hypotenuse of a right triangle measures 13cm and one of its legs
hoa [83]

Answer:

6.9

Step-by-step explanation:

Use the Pythagorean theorem :

a^2 + b^2 = c^2

so,

11^2 + b^2 = 13^2

121 + b^2 = 169

b^2= 48

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8 0
2 years ago
Find the equation of the line of best fit in slope intercept form . please help
slavikrds [6]

Answer:

y = (2/5)x + 3

Step-by-step explanation:

Note that the y-intercept is (0, 3) and that the line passes right through the point (5, 5).  First we find the slope of this line:  m = rise/run.

As we move from (0, 3) to (5, 5), we see that x increases by 5 (the run) and y increases by 2 (the rise).  Thus, the slope of this line is m = 2/5.

Now we know that m = 2/5, x = 5, y = 5 and b (the y-intercept) is 3.  Then our equation is y = mx + b, or y = (2/5)x + 3

6 0
3 years ago
Read 2 more answers
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