( 9³. 9 . 9⁰ ÷ 9⁴. 9¹ )-³simplify and calculate this algebraic expression
1 answer:
Answer:
1/729
Step-by-step explanation:
According to the Order of Operations, the expression will be evaluated like this.
__
If you were to combine exponents before doing the evaluation, you would have ...
(9^3·9^1·9^0·9^-4·9^1)^-3 = 9^((3+1+0-4+1)·(-3)) = 9^-3 = 1/729
Note that the 9^1 term in the original expression is <em>not in the denominator</em>. The preceding division is done before the result is multiplied by 9^1, <em>according to the order of operations</em>.
Some authors use the ÷ symbol to mean "everything on the left divided by everything on the right". Some students fail to put needed parentheses around denominators. As a consequence we're not sure precisely what it is we're supposed to evaluate without seeing the original typeset expression.
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See explanation below.
Step-by-step explanation:
A right triangle is a triangle that has a right angle (90º). In math, the Pythagorean theorem allows us to calculate the length of the sides of a right triangle.
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Therefore, in this case the diagonal would be 5 ft long.