Question

(3x^3)^2 a.9x^6 b. 9x^5 c. 6x^5 d. 27x^6

Answer 1

the power of 2 operates on both 3 and x^3

the index rule for power of a power is

\[(x^a)^b = x^{a \times b}\]

so really you have

\[(3x^3)^2 = 3^2 \times (x^3)^2\]

hope this helps

Answer 2

ya it does but do you add or multiply the exponents

Answer 3

read the rule above... its called power of a power...

Answer 4

thank you

Answer 5

(x-2)^2

Answer 6

squaring something means to multiply something by itself

so you have

(x-2)*(x -2)

which can be written as

x(x-2) -2(x -2)

just disrtibute and collect like terms.

Answer 7

ok

Answer 8

(2+sqrt of 3)(2-sqrtof 3)