All categories

2 years ago

Multiply 2^(9)2^(2)2^(4)

Mathematics

2 answers:

lions [1.4K]2 years ago

8 0

Answer:

2^15

Step-by-step explanation:

Given that,

(2^9)*(2^2)*(2^4)

By multiplication the powers are added as they are in same base

=2^{9+2+4}

=2^15

Flauer [41]2 years ago

3 0

Answer:

2 ^ 15

Step-by-step explanation:

2 ^9 * 2 ^ 2 * 2 ^ 4

When we multiply numbers with the same base, we can add the exponents

a^ b * a^ c = a^(b+c)

2 ^9 * 2 ^ 2 * 2 ^ 4

2 ^ ( 9+2+4)

2 ^ 15

You might be interested in

Which of the following fractions is smaller than<br> 1/2

Harman [31]

the answer is C: 3/7

5 0

3 years ago

Given: PS=RT, PQ=ST<br> Prove: QS=RS

ivanzaharov [21]

Answer:

I) Eq(1) reason: sum of segments of a straight line

II) Eq(2) reason: Given PQ = ST & PS = RT

III) Eq(3) reason: sum of segments of a straight line

IV) Eq(4) reason: Same value on right hand sides of eq(2) and eq(3) demands that we must equate their respective left hand sides

V) Eq(5) reason: Usage of collection of like terms and subtraction provided this equation.

Step-by-step explanation:

We are given that;

PS = RT and that PQ = ST

Now, we want to prove that QS = RS.

From the diagram, we can see that from concept of sum of segments of a straight line we can deduce that;

PQ + QS = PS - - - - (eq 1)

Now, from earlier we saw that PQ = ST & PS = RT

Thus putting ST for PQ & PS for RT in eq 1,we have;

ST + QS = RT - - - - (eq 2)

Again, from the line diagram, we can see that from concept of sum of segments of a straight line we can deduce that;

RS + ST = RT - - - - -(eq 3)

From eq(2) & eq(3) we can see that both left hand sides is equal to RT.

Thus, we can equate both left hand sides with each other to give;

ST + QS = RS + ST - - - (eq 4)

Subtracting ST from both sides gives;

ST - ST + QS = RS + ST - ST

This gives;

QS = RS - - - - (eq 5)

Thus;

QS = RS

Proved

5 0

2 years ago

Which statement completes the proof that the sum of the angles of triangle PRQ is 180°? Statement Justification

vichka [17]

M∠1 + m∠RPQ + m∠5 = 180° Definition of a Straight Angle

proof : mes1= PRQ (alternate interior)

RPQ = 3 Opposite angle (vertex)
5 =Q (alternate interior)
PRQ + RPQ + RQP = 180

7 0

3 years ago

Read 2 more answers

The population of Centerville increases each year. The function C(t) = P(1 +r)^t represents the population of centerville at yea

strojnjashka [21]

Answer:

P represents the population in year 0 ⇒ D

Step-by-step explanation:

* Lets explain the exponential growth function

- The exponential growth function is f(x) = a (1 + r)^t, where a is the initial

amount (at t = 0), (1 + r) is the factor of growth , r is the rate of growth

in decimal ant is the time of growth

* Lets solve the problem

∵ The function C(t) = P(1 + r)^t represents the population of

centerville at year t, where P is the initial population and r is the

rate of increase

- Ex: If your investment is increased 10% annually, then that means

each year, your total has multiplied itself by 110% (the growth factor

is 1 + 10/100 = 1.1)

∴ (1 + r) is the factor grows each year

∵ C(t) = P(1 + r)^t

∴ C depends on P(starting population) , r(the increasing rate and

t(the time in year)

∵ r is the rate of increase means the percentage of increasing , then

0 < r < 1

∴ r is not less than 0

∵ P is the initial amount when t = 0

∴ P represents the population in year 0

4 0

3 years ago

Read 2 more answers

Draw a line segment, line, ray, circle, and point in the space provided. Label them with either AB or A. be sure to include arro

mezya [45]

Work shown above! Hopefully this is what you were looking for

8 0

2 years ago

Multiply 2^(9)*2^(2)*2^(4)

Multiply 2^(9)2^(2)2^(4)