Simplify by using the law of indices:y^a(b+c)×y^b(c-a)×y^c(a-b)

Mathematics

1 answer:

tia_tia [17]2 years ago

4 0

Answer:

$y^{2ac}$

Step-by-step explanation:

Using the law if indices

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$

Thus to simplify the expression add the 3 exponents

a(b + c) + b(c - a) + c(a - b) ← distribute parenthesis

= ab + ac + bc - ab + ac - bc ← collect like terms

= 2ac

Then the expression simplifies to

$y^{2ac}$

You might be interested in

A number cube is rolled.what is the probability of rolling a number greater than 4

frosja888 [35]

Answer: 2/6

Step-by-step explanation:

There’s only 2 numbers greater than 4 on a die, so two would be the numerator and the denominator would be the number of possibilities you could roll, which is 1-6.

8 0

2 years ago

Read 2 more answers

Hey all!

Rainbow [258]

Answer:

65°

Step-by-step explanation:

<u>Use the law of cosines:</u>

cos C = (25² + 27² - 28²)/(2*25*27)
cos C = 0.4222
m∠C = arccos 0.4222
m∠C = 65°

8 0

2 years ago

please help! Create a function y=f(x) that has a removable discontinuity at x=2 and a non-removable discontinuity x=3. Fill in t

Alenkasestr [34]

Answer:

Step-by-step explanation:

7 0

2 years ago

select the correct answer. and the figure, angle k measures 45°. what is the measurement of angle c? 38° 45° 90° 98°.

LuckyWell [14K]

From the figure, we can conclude that the little triangle is an isosceles triangle, the greatest angle is 90 because ∠A = 90 and they are supplementary, therefore, using the triangle sum theorem:

$\begin{gathered} m\angle J=m\angle K \\ m\angle K+m\angle K+90=180 \\ 2m\angle K=180-90 \\ 2m\angle K=90 \\ m\angle K=\frac{90}{2} \\ m\angle K=45 \end{gathered}$