i need the answers for test: (well its some questions not the full test)
Exponent Rules Unit Test for Connexus
Find the numerical equivalent of 5^10 ⋅ 5^−6 *type here*
What is the missing exponent in the following equation? 8^500/8^? = 8^175 *type here*
What is the missing number in this simplified exponential expression: 8^? divided by 8^4 = 8^15? a: 11 b: 19 c: 60 d: 8
Apply the Zero Power Rule to create an equivalent expression to (-40)^0 + 1/2 (11 - 32^0) (-40)^0 + 1/2 (11 - 32^0) = *type here* + 1/2 (*type here - *type here*)
Which of the following expressions can be simplified to give an answer of 1? a: (-5.22)^0 b: 15 - (9.1)^0 c: 2 (8^0) d: 11^0 +24^0
Use the Power Rule of Exponents to simplify the expression (x^6)^5 *type here*
If the expression 5^10 was simplified using the Power Rule of Exponents, which of the following would be an expanded equivalent expression? a: (5^16)^6 b: (5⋅5)⋅(5⋅5)⋅(5⋅5)⋅(5⋅5)⋅(5⋅5) c: (5⋅5)^8 d: (5⋅5⋅5⋅5⋅5)⋅(5⋅5⋅5⋅5⋅5)⋅(5⋅5⋅5⋅5⋅5)⋅(5⋅5⋅5⋅5⋅5)⋅(5⋅5⋅5⋅5⋅5)
i will ad another part of the test later lol
never mind i got a 15/20 on the test i dont need the answers
Great job on your test! A score of 15/20 is a good achievement. If you have any other questions or need assistance with anything else, feel free to ask.
Sure! I can help you with those questions. Here are the step-by-step solutions:
1. Find the numerical equivalent of 5^10 ⋅ 5^−6:
To multiply exponential expressions with the same base, add the exponents.
5^10 ⋅ 5^−6 = 5^(10 + -6) = 5^4
Therefore, the numerical equivalent is 625. (5^4 = 625)
2. Find the missing exponent in the equation 8^500/8^? = 8^175:
When dividing exponential expressions with the same base, subtract the exponents.
8^500/8^? = 8^175
Simplifying, we have 8^(500 - ?) = 8^175
Therefore, the missing exponent is 325. (? = 325)
3. Find the missing number in the simplified expression 8^? / 8^4 = 8^15:
When dividing exponential expressions with the same base, subtract the exponents.
8^? / 8^4 = 8^15
Simplifying, we have 8^(? - 4) = 8^15
Therefore, the missing number is 19. (? = 19)
4. Apply the Zero Power Rule to create an equivalent expression to (-40)^0 + 1/2 (11 - 32^0) (-40)^0 + 1/2 (11 - 32^0):
Any nonzero number raised to the power of 0 is equal to 1.
Therefore, the expression becomes 1 + 1/2 (11 - 1) = 1 + 1/2 (10) = 1 + 5 = 6.
5. Identify the expression that can be simplified to give an answer of 1:
The expression (-5.22)^0 simplifies to 1 by the Zero Power Rule.
Therefore, option a: (-5.22)^0 is the correct choice.
6. Use the Power Rule of Exponents to simplify the expression (x^6)^5:
To raise a power to another power, multiply the exponents.
(x^6)^5 = x^(6 * 5) = x^30
7. Identify the expanded equivalent expression for 5^10 simplified using the Power Rule of Exponents:
(5^16)^6 is the expanded equivalent expression.
To find the answers to these questions, we need to understand and apply exponent rules. I will explain each question and guide you through the process of finding the answers.
1. Find the numerical equivalent of 5^10 ⋅ 5^−6:
To solve this, we can use the exponent rule that states when multiplying numbers with the same base, we add their exponents. So, 5^10 ⋅ 5^−6 becomes 5^(10 + -6) which simplifies to 5^4.
Answer: 5^4
2. What is the missing exponent in the following equation? 8^500 / 8^? = 8^175:
To solve this, we can use the exponent rule that states when dividing numbers with the same base, we subtract the exponents. So, 8^500 / 8^? becomes 8^(500 - ?) which is equal to 8^175.
To find the missing exponent, we can set up the equation: 500 - ? = 175 and solve for ?.
500 - ? = 175
? = 500 - 175
? = 325
Answer: 325
3. What is the missing number in this simplified exponential expression: 8^? divided by 8^4 = 8^15?
To find the missing number, we can use the exponent rule that states when dividing numbers with the same base, we subtract the exponents. So, 8^? divided by 8^4 becomes 8^(? - 4) which is equal to 8^15.
To find the missing number, we can set up the equation: ? - 4 = 15 and solve for ?.
? - 4 = 15
? = 15 + 4
? = 19
Answer: 19
4. Apply the Zero Power Rule to create an equivalent expression to (-40)^0 + 1/2 (11 - 32^0) (-40)^0 + 1/2 (11 - 32^0) = ?
The Zero Power Rule states that any non-zero number raised to the power of 0 is equal to 1.
So (-40)^0 is equal to 1.
From this, we can rewrite the expression as: 1 + 1/2 (11 - 32^0) = 1 + 1/2 (11 - 1) = 1 + 1/2 (10) = 1 + 5 = 6
Answer: 6
5. Which of the following expressions can be simplified to give an answer of 1?
To simplify the expressions, we can use the Zero Power Rule, which states that any non-zero number raised to the power of 0 is equal to 1.
a: (-5.22)^0 - This expression can be simplified to 1 since (-5.22)^0 = 1.
b: 15 - (9.1)^0 - This expression can also be simplified to 1 since (9.1)^0 = 1.
c: 2 (8^0) - This expression can be simplified to 2 since 8^0 = 1 and 2 * 1 = 2.
d: 11^0 + 24^0 - This expression can be simplified to 2 since any non-zero number raised to the power of 0 is equal to 1, so we have 1 + 1 = 2.
Answer: a, b, c, d
Now you can continue with the other parts of the test. Let me know if you have any more questions!