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Anthony T.

UCSB Student/Volunteer Tutor For 7+ Years

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Pre-Algebra

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Question:

What is (6^2) (6^3)?

Anthony T.

Answer:

When multiplying together two numbers that are raised to a power but share the same base number (6 in this case) you can simply add the exponent numbers together and solve from there. So 6^2 x 6^3 = 6^(2+3) = 6^5 = 7776

Basic Math

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Question:

What does it mean for something to be "to the power of something"?

Anthony T.

Answer:

To best explain the answer to this question we will go through an example together. Say we are trying to solve the answer to the following question... Q: What is 4 to the power of 2? A: 4^2 = (4) (4) = 16 When we set a number to the power of something that we are doing is multiplying that number by itself "something" amount of times. So 3 to the power of 4 would really be 3x3x3x3 and 4 to the power of 5 would be 4x4x4x4x4 and so on.

Algebra

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Question:

How can I use "substitution" to solve for x and y given the following equations? y=x+1 2y=3x

Anthony T.

Answer:

The first equation that we are provided within this problem gives us a value that is equal to "y". It does so by telling us that y is equal to (x+1). Since y and (x+1) are equal we can "substitute" by putting "x+1" in for y in the second equation. Doing so will give us the following... 2(x+1)=3x What that did for us was give us an equation with only one variable (x) rather than two (x and y). Now we will solve for x. 2x+2=3x 2=x now we take x=2 and replace the x in the first equation with 2 to solve for y y=2+1 y=3 So our final answer will be x=2, y=3

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