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solniwko [45]
3 years ago
12

Choose the correct simplification of the expression (4a4b)2. 16a8b 16a8b2 16a6b2 8a8b2

Mathematics
2 answers:
iogann1982 [59]3 years ago
5 0

Given exponential expression : (4a^4b)^2.

<em>According to exponents of exponent rule, we need to distribute whole exponent over exponents of inside terms of parenthesis.</em>

We are given whole exponent 2 there.

We can apply exponents of exponent rule.

Therefore,

(4a^4b)^2 = 4^2 a^{4\times2}b^2

4^2= 16.

a^{4\times2} = a^8

Therefore, 4^2 a^{4\times2}b^2 = 16a^8b^2.

<h3>Correct option is second option 16a^8b^2.</h3>
Korolek [52]3 years ago
4 0

Answer:

BBBBBBBBBBBBBBBBBBBBBBBBBBBB

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Answer: you can find the area of a circle by multiplying the radius by pi and then squaring it by 2

Step-by-step explanation:

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2 years ago
A cone has a radius of 5 inches and a height of 10 inches. What is the volume of the cone? Use 3.14 for pi. Round to the nearest
RideAnS [48]

Answer:

261.8 in^3

Step-by-step explanation:

The formula for the volume of a cone is V = (1/3)(base)(height), where "base" is the area of the base.

In this case, with the radius being 5 in and the height 10 in, we get:

V = (1/3)*π*(5 in)^2*(10 in), which simplifies to 261.8 in^3.

8 0
3 years ago
The legs of a right triangle are 12 cm and 16 cm. What is the length of the hypotenuse? 15 cm 17 cm 20 cm 28 cm
GalinKa [24]
Answer: 20 cm

To solve this, use the Pythagorean Theorem, a² + b² = c², where a and b are the legs of the right triangle, and c is the hypotenuse of the right triangle.
**The Pythagorean Theorem only works for right triangles.**

Substitute in the values.
a² +  b² = c²
12² + 16² = c²

Solve for c, the hypotenuse.
12² + 16² = c²               
144 + 256 = c²
400 = c²
c = √400
c = 20

7 0
4 years ago
Read 2 more answers
Please please help me out
mihalych1998 [28]

Answer:

A trinomial of degree 5

Step-by-step explanation:

A monomial has only 1 term

A binomial has 2 terms

A trinomial has 3 terms

4x^{5} + 3x³ - 7x ← has 3 terms and is therefore a trinomial

The degree of a polynomial is determined by the largest exponent of the variable in the expression

4x^{5} is the term with the largest exponent in the expression

Hence a polynomial of degree 5

6 0
3 years ago
The expression 9n + 3 represents the perimeter (in meters) of the triangle. Write an expression in the simplest form that repres
AlexFokin [52]

Answer:

4n+2

Step-by-step explanation:

  1. add all sides =9n+3
  2. 3n+2+2n-1=9n+3
  3. add liketerms 5n+1=9n+3
  4. put liketerms together 9n-5n+3-1
  5. ans hence is 4n+2
5 0
3 years ago
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