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Solnce55 [7]
3 years ago
10

Help this is really hard

Mathematics
2 answers:
Agata [3.3K]3 years ago
5 0

(2^8 *3^-5* 6^0)^-2 * ((3^-2)/(2^3))^4 * 2^28

anything to the 0 power is 1

(2^8 *3^-5* 1)^-2 * ((3^-2)/(2^3))^4 * 2^28

using the power of power property to take the power inside

(2^(8*-2) *3^(-5* -2) * (3^-2*4)/(2^3*4) * 2^28

simplify

2^ -16 * 3^10 * 3^-8 /2*12   * 2^28

get rid of the division by making the exponent negative

2^-16 * 3^10 * 3^-8 *2*-12   * 2^28

combine exponents with like bases

2^(-16-12+28) * 3^(10-8)

2^(0) *3^2

anything to the 0 power is 1

1*9

9




Nata [24]3 years ago
3 0

(2^8\cdot3^{-5}\cdot6^0)^{-2}\cdot\left(\dfrac{3^{-2}}{2^3}\right)^4\cdot2^{28}\\\\\text{use}\\(a\cdot b)^n=a^n\cdot b^n\\(a^n)^m=a^{nm}\\\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\ a^0=1\ for\ a\neq0\\\\=(2^8)^{-2}\cdot(3^{-5})^{-2}\cdot1^{-2}\cdot\dfrac{(3^{-2})^4}{(2^3)^4}\cdot2^{28}=2^{(8)(-2)}\cdot3^{(-5)(-2)}\cdot1\cdot\dfrac{3^{(-2)(4)}}{2^{(3)(4)}}\cdot2^{28}

=2^{-16}\cdot3^{10}\cdot\dfrac{3^{-8}}{2^{12}}\cdot2^{28}=\dfrac{2^{-16}\cdot2^{28}}{2^{12}}\cdot3^{10}\cdot3^{-8}\\\\\text{use}\ a^n\cdot a^m=a^{nm}\\\\=\dfrac{2^{-16+28}}{2^{12}}\cdot3^{10+(-8)}=\dfrac{2^{12}}{2^{12}}\cdot3^2=1\cdot3^2=3^2=9\\\\Answer:\ \boxed{9}

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Tresset [83]

<em><u>Question:</u></em>

Ana participated in a charity walk. She raised $0.25 for each 1/2 mile that she walked.The first day Ana walked 11 miles.The second day, she walked 14 miles.How much money did Ana raised?

<em><u>Answer:</u></em>

Ana raised $ 12.5

<em><u>Solution:</u></em>

From given question,

First day walk = 11 miles

Second day walk = 14 miles

<em><u>Let us first calculate the total distance she walked</u></em>

Total distance = first day walk + second day walk

Total distance = 11 + 14 = 25 miles

Thus she walked for 25 miles

Given that,

<em><u>She raised $0.25 for each 1/2 mile that she walked</u></em>

\frac{1}{2} \text{ mile} = 0.25 \text{ dollars }

Therefore, for 1 mile we get,

\frac{1}{2} \times 2 \text{ mile} = 0.25 \times 2 \text{ dollars }\\\\1 \text{ mile } = 0.5 \text{ dollars }

Now calculate for 25 miles

25 \text{ mile } = 25 \times 0.5 = 12.5 \text{ dollars }

Thus she raised $ 12.5

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shtirl [24]

Answer:

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Step-by-step explanation:

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sukhopar [10]

Answer:

(3m-4/5)2  

Final result :

 (15m - 4)2

 ——————————

     52    

Step by step solution :

Step  1  :

           4

Simplify   —

           5

Equation at the end of step  1  :

        4

 (3m -  —)2

        5

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

          3m     3m • 5

    3m =  ——  =  ——————

          1        5    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3m • 5 - (4)     15m - 4

————————————  =  ———————

     5              5    

Equation at the end of step  2  :

 (15m - 4)

(—————————)2

     5    

Step  3  :

Final result :

 (15m - 4)2

 ———

     52    

Step-by-step explanation:

5 0
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