All categories

3 years ago

Simplify. Rewrite the expression in the form (7^3)^3

Mathematics

2 answers:

Len [333]3 years ago

8 0

Answer:

40353607 or 7^9

Step-by-step explanation:

7 to the third power is 343

343 to the third power is 40353607 :)

But the exponents times each other equal nine. This will be your answer: 7^9

Sveta_85 [38]3 years ago

6 0

Answer:

7^9

Step-by-step explanation:

When dealing with exponents inside and outside parenthesis with only one term in the parenthesis, you multiply the exponents. By doing this, you get 7^3x3, which is 7^9

You might be interested in

A polynomial function g(x) with integer coefficients has a leading coefficient of 1 and a constant term of

mart [117]

Answer:

+1, -1, +11, -11

probably written with a +- symbol:

+-1, +-11

Maybe (silly) written like fractions:

+- 1/1, +- 11/1

Step-by-step explanation:

First list the factors of the leading coefficient. Here its 1. So we're going to use positive and negatives of the factors of 1, which is just +/- 1 . These numbers are going to go on the bottom of a fraction.

Next look for the factors of the constant, here it's 11

So that gives us

+/- 1, +/- 11 . These will go on the top of a fraction. (A fraction is a rational expression, that's why the name)

Then make all the combinations of

factors of constant

OVER

factors of leadingcoeff

So, we find

+/- 1, +/- 11

6 0

2 years ago

Need help on these trig homework

allochka39001 [22]

8. The length of the support is 7. 9 m

9. The length of the conveyer is 12m

3. a = 59m

A = 44°

B = 52°

4. c = 88. 6 mm

b = 49. 1 m

B = 34°

<h3>How to solve the trigonometry</h3>

8. We have the angle to be 20 degrees

Opposite side = x

hypotenuse = 23m

Using the sine ratio

sin θ = opposite/ hypotenuse

$sin 20 = \frac{x}{23}$

Cross multiply

$sin 20$ × $23 = x$

$x = 0. 3420$ × $23$

x = 7. 9 m

The length of the support is 7. 9 m

9. The angle of elevation is 37. 3 degrees

Hypotenuse = 19 . 0m

Opposite = x

Using the sine ratio

sin θ = opposite/ hypotenuse

$sin 37. 3 = \frac{x}{19}$

cross multiply

$x = 0. 6059$ × $19$

x = 11.5

x = 12 m in 2 significant figures

The length of the conveyer is 12m

3. To determine the sides and angles, we use the sine rule;

$\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}$

For side a, we use the Pythagorean theorem

$c^2 = a^2 + b^2$

$85^2 = a^2 + 67^2$

$a = \sqrt{89^2-67^2}$

$a = \sqrt{3432}$

a = 58. 58, a = 59m

To find angle A and B, use the sine rule

$\frac{59}{sin A } = \frac{85}{sin 90}$

cross multiply

$sin A$ × $85$ = $sin 90$ × $59$

make sin A subject of formula

$sin A = \frac{59}{85}$

$sin A = 0. 6941$

A = $sin^-^1(0. 6941)$

A = 44°

$\frac{67}{sin B} = \frac{85}{sin 90}$

cross multiply

$sin B$ × $85$ = $sin 90$ × $67$

make sin b subject of formula

$sin B = \frac{67}{85}$

$sin B = 0. 7882$

B = $sin^-^1( 0. 7882)$

B = 52°

4. To find the sides, we use the sine rule;

$\frac{74. 0}{sin 56. 6} = \frac{c}{sin 90}$

Cross multiply

$sin 56. 6$ × $c = sin 90$ × $74$

make 'c' subject of formula

$c = \frac{74}{0. 8348}$

c = 88. 6 mm

To find length b, we use the Pythagorean theorem

$c^2 = a^2 + b^2$

$b^2 = c^2 - a^2$

$b^2 = 88. 8^2 - 74^2$

$b = \sqrt{7885. 44 - 5476}\\\\ b = \sqrt{2409. 44}$

b = 49. 1 m

$\frac{74. 0}{sin 56. 6} = \frac{49. 1}{sin B}$

cross multiply

$sin B = \frac{40. 99}{74. 0}$

B = $sin^-^1(0. 5539)$

B = 34°

Learn more about trigonometric identity here:

brainly.com/question/7331447

#SPJ1

3 0

2 years ago

What is the prime factorization of 28 and 50?<br> Explain if possible.

dangina [55]

Answer:

prime factorization of 28

28 = 2 × 2 × 7

prime factorization of 50

50 = 2 × 5 × 5

Step-by-step explanation:

GCF, multiply all the prime factors common to both numbers:

Therefore, GCF = 2

3 0

2 years ago

Read 2 more answers

The Malcolms are taking a trip. Midville is 214 miles

Juliette [100K]

Answer:

642 miles

Step-by-step explanation:

Distance of Midville from their home = 214 miles

Walesburg is 3 times as far.

How far is Walesburg from their home?

Distance of Walesburg from their home = 3 × Distance of Midville from their home

= 3 × 214 miles

= 642 miles

Distance of Walesburg from their home = 642 miles

8 0

3 years ago

Write a situation in which positive and negative numbers are used to describe values that have opposite meaning. What does 0 rep

mote1985 [20]

This would be something like [5] or -[-5] which is absolute value (>.<)

8 0

3 years ago