Answer the following and simplify. The answer should contain only positive exponents (With solution).
1. 2m^2 x 2m^3
2. m^4 x 2m^-3
3. 4r^-3 x 2r^2
4. 4n^4 x 2n^-3
5. 2k^4 x 4k
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Answer the following and simplify. The answer should contain only positive exponents (With solution).
1. 2m^2 x 2m^3
2. m^4 x 2m^-3
3. 4r^-3 x 2r^2
4. 4n^4 x 2n^-3
5. 2k^4 x 4k
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Answer:
1.) 4m5
2.) 2m
3.) 8/r
4.) 8n
5.) 8k5
Step-by-step explanation:
1.) 2m^2 x 2m^3
↓ Calculate
4m5
2.) m^4 x 2m^-3
↓ Multiply the terms with tge same base by adding their exponets
m4 - 3 x 2
We'll start by rewriting this subtraction as an addition problem. To do that, first copy over the 4. Next, change the minus sign to a plus. Finally, write the opposite of 3 after the plus sign. To add the numbers using a number line, we'll start from zero, Since 4 is positive, lets move the point 4 places to the right. Since - 33 is negative, Lets move the point 3 places to the left, The result is 1
4 + 3 = 4 ( - 3 ) = 1
m1x2
↓ Any expession raised to the power of 1 equals itself
mx2
mx2
↓ Use the commutative property to reorder the terms
Solution 2m
3.) 4r^-3 x 2r^2
↓
8r - 1
8r- 1
↓ Any expression rased to the power of -1 equals its reciprocal
8 x 1/r
8x1/r
↓Calculate the product
Solution: 8/r
4.) 4n^4 x 2n^-3
↓Multiply the numbers
8n4xn-3
8n4-3
↓Subtract the numbers
8n1
8n1
↓Any expresion raised to the power of 1 equals itself
Solution: 8n
5.) 2k^4 x 4k
↓ Multiply
8k4 xk
8k4 xk1
↓ Multiply the terms with the same base by adding their exponents
8k 4 + 1
8k 4 + 1
↓ Add the numbers
8k5
OWWW MY BRAIN HURTS FROM ANSWERING ALL OF THIS. CAN I GET A BRAINLIEST?