Simplify using exponent rules
2 answers:
Exponents are <em>abbreviations for repeated multiplication</em>. In other words, if we have 11 6's multiplied together, we can abbreviate it with the exponent and save ourselves the trouble of writing all of the 6's out.
Now, if we have a fraction like , the six in the denominator <em>cancels one of the sixes in the numerator</em>. That means that we have one <em>fewer </em>six being multiplied together, and we'll have to change our abbreviation to reflect this.
We started with 11 6's - - and we took one away -
- so we're now left with 10 6's, or
.
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For any right triangle, we can use the Pythagorean Theorem. The Pythagorean Theorem states that for any right triangle, the legs when squared and added together will be equal to the hypotenuse squared.
In mathematical notation:
Where the variables a and b are the legs and the variable c is the hypotenuse.
Because we know the two side lengths of the triangle, we can solve for the unknown side.
We know the length of one of the legs and the hypotenuse.
Plug in the values.
So, the square root of 476 is the unknown length.
In mathematical notation:
Where the variables a and b are the legs and the variable c is the hypotenuse.
Because we know the two side lengths of the triangle, we can solve for the unknown side.
We know the length of one of the legs and the hypotenuse.
Plug in the values.
So, the square root of 476 is the unknown length.