0
3^(6) X 3^(-4) =
Providing the coefficient, '3' in this case, is the same for both number. then you add the indices. Hence
3^(6) X 3^(-4) =
3^(6 + -4) =
3^(2) = 9
Another way
3^(6) X 3^(-4) = 3^(6) X 1/ 3^(4) = 3^(6) / 3^(4) = 3^(6-4) = 3^(2)
Note when placed under '1' the negative is dropped.
A third way
(3 x 3 x 3 x 3 x 3 x 3) / (3 x 3 x 3 x 3)
Cancel down '3' by '3' , or '3' for '3' hence
3^(2)
General rules for manipulating indices.
#1 ; The coefficients MUST be the same . For different coefficients , you CANNOT do these manipulations.
#2 ; a^(m) X a^(n) = a^(m+n)
#3 ; a^(m) / a^(n) = a^(m-n)
#4 ; (a^(m))^(n) = a^(mn)
a^(m) X b^(n) cannot be done!!!!! , because 'a' & 'b' are different coefficients.
What else can I help you with?
What is negative 4 to the power of 2 times negative 4 to the power of negative 2?
1
How do you simplify negative 3 times cube root of negative 3?
Using the symbol "^" for power. (-3)^1 * (-3)^(1/3) = (-3)^(4/3).
What would be the answer to positive 3 times negative 4?
A positive times a negative is negative, so positive 3 times negative 4 would be negative 12.
What is a negative 3 times a negative 4?
+12
What is negative 3 times by 4?
negative 12
What is negative 4 to the power of 2 times negative 4 to the power of negative 2?
1
What is four to the negative sixth power?
do negative 4 times 4 6 times
How do you simplify negative 3 times cube root of negative 3?
Using the symbol "^" for power. (-3)^1 * (-3)^(1/3) = (-3)^(4/3).
What would be the answer to positive 3 times negative 4?
A positive times a negative is negative, so positive 3 times negative 4 would be negative 12.
What is negative 3 to the fourth power?
When you take a number to a negative power, it's the same as taking its reciprocal to the positive power. So (-3)-4 is the same as 1/(-3)4. Because a negative number times a negative number is a positive number, any number to an even power is positive. So1/(-3)4=1/34Now we just need to multiply 3 by itself 4 times, then divide one by that. So we get...1/(3*3*3*3)=1/81=~0.123
What is negative one to the power of 4 equal?
When a negative number is raised to an even power, the result is always positive. Therefore, (-1)^4 equals 1. This is because multiplying a negative number by itself an even number of times will always result in a positive value.
What is a negative 3 times a negative 4?
+12
What is negative 3 times by 4?
negative 12
What is negative 4 to the negative 3rd power?
-4-3 = -1/64
What is 4 times three to the negative first power?
4 x (3 ^ -1) = 4/3 or 1 1/3(4 x 3) ^ -1 = 1/12 or one twelfth.
What is Negative three to the fourth power?
A number with a negative power (or index/exponent) is equal to the reciprocal of that number but with the equivalent positive power. For example, a-3= 1/a3. Thus,. (-3)-4 = 1/(-3)4 = 1/81
What is The cube root of x to the sixth power times y to the negative 4 power?
x squared times y to the negative four thirds power
