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2 answers:
Answer:
x=
Step-by-step explanation:
To do this we need to use the pythagorean theorem.
This theorem states that the a^2+b^2=c^2
where a and b are sides of the triangle and c is the hypotenuse.
This said we can set up the following expression:
4^2+5^2=c^2
Simplify.
16+25=c^2
41=c^2
c=
c is what we named x, so x=
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Answer:
Step-by-step explanation:
Powers are defined as the number of times you multiply a number by itself. For example, 2 to the 3rd power is 2 multiplied by itself 3 times. 2 * 2 * 2 = 8. You also know that if you multiply two powers of the same base, you add the exponent, and if you raise a power to a different power, you multiply the exponents.
e.g:
Now, we are asking to use grouping to write 2 to the power 18 as a power of 8. We know 2 to the power 8 is 2 to the power 3, so we have the following equation:
We know this is now 2 to the power 3x = 2 the power 18, and therefore x = 6, because 3 times 6 is equal to 18. Now, we can just simplify 2 to the third as 8 and we now have: