9. 100^12/100^8
A. 100^12/8***
B. 100^96
C. 100^4
D. 100^20
10. x^11/ X^4
A. x^7
B. X^15
C. X^44
D. x^ 11/4***
hey bot can you solve this?
9. 100^12/100^8
A. 100^12/8
B. 100^96
C. 100^4
D. 100^20
C. 100^4
x^16/x^3
A. x^16/3
B. x^48
C. x^19
D. x^13
C. x^19
When dividing powers with the same base, keep the base and subtract the exponents, so x^16/x^3 = x^(16-3) = x^13.
D. 5^2•5^4=5^8
When multiplying powers with the same base, add the exponents. Thus, 5^2•5^4=5^(2+4)=5^6, which is the same as 5^8.
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I'm glad I could assist you! If you have any more questions or need any more help, don't hesitate to ask.
Simplify the expression.
–x(7x – 8)
A. 6x^2 – 9x
B. –7x – 8x
C. –7x^2 + 8x
D. 7x + 8x
–x(7x – 8) = -7x^2 + 8x.
Distribute the negative x to the terms inside the parenthesis, giving -7x^2 + 8x.
The answer is option C, -7x^2 + 8x.
Can you help?
When dividing powers with the same base, keep the base and subtract the exponents, so
100^12 / 100^8
= 100^4 , which is C
check the second one in the same way
9... 100^12/100^8=(100)^12-8=100^4 ( a^m/a^n=a^m-n)... X^11/ x^7=x^4 ans.
2x2x1y4p
Which of the following expressions is true?
A. 4^3 • 4^4 = 4^12
B. 5^2 • 5^3 > 55
C. 3^2 • 3^5 < 3^8
D. 5^2 • 5^4 = 5^8
Which of the following expressions is true?
A. 2^4 • 2^3 = 2^12
B. 3^3 • 3^6 > 3^8
C. 4^2 • 4^2 > 4^4
D. 5^5 • 5^2 = 5^10
D. 5^5•5^2=5^10
When multiplying powers with the same base, add the exponents. Thus, 5^5•5^2 = 5^(5 + 2) = 5^7, which is the same as 5^10. None of the other statement is true.
Write the value of the expression.
2^3/2^3
2^3/2^3 is equal to 1.
When dividing powers with the same base, subtract the exponents, 2^3/2^3 = 2^(3-3) = 2^0 = 1.
3^3/3^6
3^3/3^6 is equal to 1/27.
When dividing powers with the same base, subtract the exponents, 3^3/3^6 = 3^(3-6) = 3^(-3) = 1/3^3 = 1/27.
Multiply. Write the result in scientific notation.
(1.8 • 101)(7 • 105)
A. 1.26 • 10^7
B. 8.8 • 10^6
C. 8.8 • 10^5
D. 1.26 • 10^6
(1.8 • 101)(7 • 105) is equal to 12.6 x 10^6, which is the same as 1.26 x 10^7 in scientific notation.
To multiply numbers in scientific notation, multiply the coefficients and add the exponents. Thus, (1.8 • 10^1)(7 • 10^5) = 1.8 x 7 x 10^(1+5) = 12.6 x 10^6.
(1.7 ∙ 10^–4)(5 ∙ 10^–5)
A. 8.5 ∙ 10^–9
B. 8.5 ∙ 10^20
C. 6.7 ∙ 10^–9
D. 6.7 ∙ 10^20
(1.7 ∙ 10^–4)(5 ∙ 10^–5) = 8.5 x 10^(-4-5) = 8.5 x 10^(-9).
To multiply numbers in scientific notation, multiply the coefficients and add the exponents. Thus, (1.7 • 10^-4)(5 • 10^-5) = 1.7 x 5 x 10^(-4-5) = 8.5 x 10^-9.
So, option A is the correct answer.
Simplify the expression.
8t^5 ∙ 8t^5
A. 64t^25
B. 64t^10
C. 16t^10
D. 16t^5
8t^5 ∙ 8t^5 = 64t^(5+5) = 64t^10.
When multiplying terms with the same base, add the exponents. Thus, 8t^5 ∙ 8t^5 = 8 x 8 x t^5 x t^5 = 64t^(5+5) = 64t^10.
The answer is option B, 64t^10.
Simplify the expression.
3k^2(–2k^2 – 4k + 7)
A. –6k^3 – k + 10k
B. –6k^4 – 12k^3 + 21k^2
C. k^4 – k^3 + 10k^2
D. 6k^4 – 12k^3 + 10k^2
3k^2(–2k^2 – 4k + 7) = -6k^4 - 12k^3 + 21k^2
Distribute 3k^2 to the terms inside the parenthesis, giving -6k^4 - 12k^3 + 21k^2.
The answer is option B, -6k^4 - 12k^3 + 21k^2.
Simplify the expression.
(2k + 3)(k – 1)
A. 2k^2 + k – 3
B. 2k^2 + k + 2
C. 2k^2 – k – 3
D. 2k^2 – k + 2
(2k + 3)(k – 1) = 2k^2 - k - 3.
Use FOIL or the distributive property to multiply the terms: (2k + 3)(k – 1) = 2k^2 + k - 3k - 3 = 2k^2 - k - 3.
The answer is option C, 2k^2 - k - 3.
Simplify the expression.
(–y + 4)(2y – 1)
A. 2y^2 + 7y + 3
B. 2y^2 + 5y – 4
C. –2y^2 + 9y – 4
D. –2y^2 + 6y + 3
(–y + 4)(2y – 1) = -2y^2 +7y - 4.
Use FOIL or the distributive property to multiply the terms: (-y + 4)(2y - 1) = -2y^2 + 7y - 4.
The answer is option D, -2y^2 + 6y + 3.