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3 years ago

Is −3 a solution to the equation 3 − 5 = 4 + 2? Explain.

Mathematics

1 answer:

Flura [38]3 years ago

5 0

Answer:

Step-by-step explanation:

THAT IS THE REAL ANSWER

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Mathematics 13 don’t understand

UNO [17]

Answer:

1/6^3

Step-by-step explanation:

The applicable rules of exponents are ...

a^-b = 1/a^b

(a^b)(a^c) = a^(b+c)

Your expression can be simplified as follows:

$\dfrac{6^{-5}}{6^{-2}}=\dfrac{1}{(6^{-2})(6^5)}=\dfrac{1}{6^{-2+5}}=\boxed{\dfrac{1}{6^3}}$

_____

Additional comment

If you think of an exponent as signifying repeated multiplication, the rules of exponents may be easier to remember. The exponent tells you how many times the base is a factor in the product.

Consider multiplication:

$(x\cdot x\cdot x)\cdot(x\cdot x)=x^3\cdot x^2=x^{3+2}=x^5\\\\(x\cdot x\cdot x)\cdot(x\cdot x\cdot x)=(x^3)^2=x^{3\cdot2}=x^6$

Consider division:

$\dfrac{x\cdot x\cdot x}{x\cdot x}=x\quad\Longleftrightarrow\quad\dfrac{x^3}{x^2}=x^{3-2}=x^1\\\\\dfrac{x\cdot x}{x\cdot x\cdot x}=\dfrac{1}{x}\quad\Longleftrightarrow\quad\dfrac{x^2}{x^3}=x^{2-3}=x^{-1}$

This may help you see that a positive exponent in the denominator is equivalent to a negative exponent in the numerator (and vice versa).

6 0

3 years ago

in a multiplication problem, if the first factor has 5 digits after the decimal and the second factor has 4 digits after the dec

STatiana [176]

9 digits after the decimal because 5+4=9

4 0

4 years ago

Read 2 more answers

At the start of the month, the value of an investment was $73.42. By the end of the month, the value of the investment changed b

Aleonysh [2.5K]

Answer:

0.8%.

Step-by-step explanation:

Given:

At the start of the month, the value of an investment was $73.42.

By the end of the month, the value of the investment changed by a loss of $13.53.

Question asked:

What was the value, in dollars, of the investment at the end of the month?

What was the percent loss?

Solution:

At the start of the month, the value of an investment = $73.42.

Loss = $13.53.

The value, of the investment at the end of the month = The value of an investment at the start of the month - loss

The value, of the investment at the end of the month = $73.42 - $13.53

= $59.89

Thus, the value, of the investment at the end of the month is $59.89.

Now, we will find percent loss:-

$Percent\ loss = \frac{Loss}{value\ of \ investment\ at \ start}$

$=\frac{59.89}{73.42} \\=0.81\%$

Thus, percent loss on investment by the end of the month is 0.8%.

7 0

3 years ago

Ron earns $4 per hour on Saturdays and $5 per hour on Sunday's. He worked 17 hours one weekend and earned $76. How many hours di

Ivenika [448]

Alright! so 4×5=20. so that means he worked 20 hours on Sunday.Hope this helps! ;) (Sorry if I answered this incorrectly.....

7 0

4 years ago

(-4/5)(3/5)(-6/7)(5/6)=

Vera_Pavlovna [14]

Answer:

(-4/5)(3/5)(-6/7)(5/6)

= (-4/5)(3)(-1/7)

= 12/35

Hope this helps!

4 0

4 years ago