3 years ago

Is x to the sixth power equal to (x squared) to the third power?

Mathematics

1 answer:

Sveta_85 [38]3 years ago

3 0

YES

We know: $(a^n)^m=a^{n\cdot m}$

We have: $x^6=x^{2\cdot3}=(x^2)^3$

You might be interested in

8) Solve 4^(x - 2)= 8^6 A)5 B)8 C)10 D)11

myrzilka [38]

For this case we have the following equation:

$4 ^ {(x-2)} = 8 ^ 6$

We must create equivalent expressions in the equation, so that they have equal bases:

$2 ^ {2 * (x-2)} = 2 ^ {3 * 6}$

If the bases are the same, then the two expressions are only equal if the exponents are equal:

$2 (x-2) = 3 * 6\\2 (x-2) = 18\\2x-4 = 18\\2x = 18 + 4\\2x = 22\\x = \frac {22} {2}\\x = 11$

Answer:

$x = 11$

Option D

3 0

3 years ago

Read 2 more answers

Evaluate 13+6/y when y = 6

Anon25 [30]

Answer:

3.166

Step-by-step explanation:

It is not fully done but I put it to the thousandths if you want full answer, it is 3.16666667

8 0

2 years ago

Find the numerical value of the expression if x = 2.

marshall27 [118]

Step-by-step explanation:

6x-7

= 6×2-7

=12-7

b) 3x

=3×2

8 0

2 years ago

To borrow money, you pawn your guitar. Based on the value of the guitar, the pawnbroker loans you $1080. One month later, yo

Serhud [2]

The annual rate interest: r = 640.2%

4 0

2 years ago

Read 2 more answers

3 over 8 what does that =

inn [45]

Answer:

.375

Step-by-step explanation:

divide 3 by 8

7 0

3 years ago

Read 2 more answers