Answer:
Step-by-step explanation:
Since the denominator of each of those rational exponents is a 4, that means that the radical is a 4th root. The numerator of each exponent serves as the power on the given base. For example,
can be rewritten as
The little number that sits outside the radical, resting in the bend, is called the index. Our index is 4 (same as saying the 4th root). Put everything under the 4th root and let the numerator be the powers on each base:
which is written simpler as:
Answer:
12 cm
Step-by-step explanation:
The Pythagorean Theorem is as follows:
A and B represent the side lengths (legs) and C represents the hypotenuse.
The length of one leg equals 5cm. (This can be represented by either a or b)
The hypotenuse equals 13 cm.
Plug these into the equation from above:
Solve for the other leg:
Square what's in the parentheses from above
Subtract 25 from 169
Square root both sides
a = 12 cm
Thus, the length of the other leg is 12 cm.
Let's check our answer:
Square everything
144 + 25 = 169 Add
169 = 169
Because both sides are equal it means that 12 cm is the correct answer.
Hope this helps!!