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3 years ago

(dont answer if you dont know pleas) please help

Mathematics

1 answer:

Dafna1 [17]3 years ago

8 0

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Use the rules of exponents to simplify the expressions. Match the expression with its equivalent value.

Lelechka [254]

Answer:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}} = 32$

Step-by-step explanation:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}$

Solving using exponent rule: $a^{-m}=\frac{1}{a^m}$

$\frac{(-2)^{-5}}{(-2)^{-10}}\\=(-2)^{-5+10}\\=(-2)^{5}\\=-32$

So, $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4}$

Using the exponent rule: $a^m.a^n=a^{m+n}$

We have:

$2^{-1}.2^{-4}\\=2^{-1-4}\\=2^{-5}$

We also know that: $a^{-m}=\frac{1}{a^m}$

Using this rule:

$2^{-5}\\=\frac{1}{2^5}\\=\frac{1}{32}$

So, $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2$

Solving:

$(-\frac{1}{2} )^3.(-\frac{1}{2} )^2\\=(-\frac{1}{8} ).(\frac{1}{4} )\\=-\frac{1}{32}$

So, $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}}$

We know that: $a^{-m}=\frac{1}{a^m}$

$\frac{2}{2^{-4}}\\=2\times 2^4\\=2(16)\\=32$

So, $\frac{2}{2^{-4}} = 32$

3 0

3 years ago

Add rational numbers 3.64+3/5

sesenic [268]

Answer:

It’s 4.24 but does it need to be rounded?

Step-by-step explanation:

3 0

3 years ago

If g= 57 and f= 54 find h

Nadusha1986 [10]

Answer:

sorry

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Gloria bought each of her three younger siblings a movie ticket.find the total cost of the movie tickets if each ticket cost $9.

jeka94

Answer:

The answer is 29.25

Step-by-step explanation:

Using distributive property, the equation would be 3(9.75).

9.75*1+9.75*1+9.75*1=29.25

4 0

3 years ago

Sum of two numbers is 24 and the difference is 15.What are the two numbers ?

natulia [17]

Translate that into an equation, and we get:

a+b = 24
a-b = 15

If we add these two equations, we get:

2a = 39
a = 39/2 = 19.5

Plug back in a = 19.5 and solve for b

a + b = 24
19.5 + b = 24
b = 4.5

The two numbers are 19.5 and 4.5.

4 0

3 years ago