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Oksi-84 [34.3K]
3 years ago
12

Represent the following expressions as a power of the number a (a≠0)((a^2)^−2)^5÷(a^4a)^3

Mathematics
1 answer:
nikklg [1K]3 years ago
4 0

Answer:

a⁻³⁵

Step-by-step explanation:

((a²)⁻²)⁵ ÷ (a⁴a)³

((a²)⁻²)⁵ ÷ (a⁴a¹)³

= (a⁻⁴)⁵ ÷ (a⁵)³

= a⁻²⁰ ÷ a¹⁵

= a⁻²⁰⁻¹⁵

= a⁻³⁵

Exponent rules:

Multiplying two numbers with same base: add exponents

Dividing two numbers with same base: subtract exponents

Number with exponent raised to another exponent: multiply the exponents together

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27) Harry made 4 hits in 9 times at-bat. If she keeps the same success level, how many hits should she make in 18 times at bat?
9966 [12]

Answer:

<u>8 hits</u>

Step-by-step explanation:

The ratio is :

  • hits : times-at-bat = 4 : 9

Now, we have 18 times at bat.

Multiply both sides of the ratio with 2 :

  • 4 x 2 hits : 9 x 2 times at bat
  • <u>8 hits</u> : 18 times at bat

Harry should make <u>8 hits</u> in 18 times at bat.

6 0
2 years ago
What is the slope of a line that is perpendicular to y=1/2x+9 that passes through (-7,-4)
Artist 52 [7]
Hi there!

To find the perpendicular slope you need to flip the fraction and change the sign. So 1/2=2/1 and tge original slope was positive, so the slope is -2. Now you sub in the point (-7,-4) in for x and y in the formula y=mx+b and solve for b (sub in 2 for m as well)
Y=mx+b
-4=-2*-7+b
-4=14+b
-4-14=b
B=-18
The equation is y=-2x-18

Hope this helps!
6 0
2 years ago
Find perimeter of rectangle when length = 4.6m and breadth = 360cm​
ivann1987 [24]

Answer:

16.4 m²

Step-by-step explanation:

length = 4.6 m

breadth = 360 cm = 360 ÷ 100 = 3.6 m

Perimeter = 2*(l + b)

                 = 2 * ( 4.6 + 3.6)

                 = 2 * 8.2

                  = 16.4 m²

7 0
2 years ago
Read 2 more answers
Help me do this please
Rom4ik [11]
Use the distributive property.
(3/8)*(16x-24)=(3/8)(16x)-(3/8)(24)
16x*3/8=48x/8=6x
24*3/8=72/8=9
6x+9

Hope this helps!
4 0
3 years ago
1.What is the solution to the system of equations?
Ludmilka [50]
1. x=4, y=0
3. x=2.6666, y=0.3333
8 0
2 years ago
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