Answer:
see below
Step-by-step explanation:
(ab)^n=a^n * b^n
We need to show that it is true for n=1
assuming that it is true for n = k;
(ab)^n=a^n * b^n
( ab) ^1 = a^1 * b^1
ab = a * b
ab = ab
Then we need to show that it is true for n = ( k+1)
or (ab)^(k+1)=a^( k+1) * b^( k+1)
Starting with
(ab)^k=a^k * b^k given
Multiply each side by ab
ab * (ab)^k= ab *a^k * b^k
( ab) ^ ( k+1) = a^ ( k+1) b^ (k+1)
Therefore, the rule is true for every natural number n
Answer: -3 and 1/3
Step-by-step explanation:
There’s your answer
Step-by-step explanation:
27^1/3
=(3^3)^1/3
=(3^3)×1/3
=3, so your final answer is D.)27 to the power of 1 over 3 equals 3 to the power of 3 to the power of 1 over 3 equals 3 to the power of 3 multiplied by 1 over 3 equals 3
Or
27^1/3=?
To find the answer, I will use one formula from Laws of Exponent
a^p/q
=q√a^p
Apply the same steps to 27^1/3
27^1/3
=³√27¹
=³√27
=3. Hope it help!
There is a total of 16+11+9+15+8+20 = 79 blocks. Since she is replacing the block each time it is drawn, the probability that she draws an orange block is always the same (10 draws or 500 draws). Since 20 of the blocks are orange, the probability would be
20/79 or
D) 0.25
Answer:
C
Step-by-step explanation:
i think because the bottom of the triangles are the denominators and the x is the numerator