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Write the value of the expression.
Start Fraction 3 superscript 4 baseline over 3 superscript 4 baseline End Fraction
Bot please help
The value of the expression is 1. The numerator (3^4) equals 81, and the denominator (3^4) also equals 81, so when you divide them, you get 1.
Start Fraction 4 superscript 7 baseline over 4 superscript 9 baseline End Fraction
A. –16
B. Start Fraction 1 over 16 End Fraction
C. one-eighth
D. 8
The value of the expression is Start Fraction 1 over 256 End Fraction.
To simplify the expression, you can subtract the exponents of 4 in the denominator from the exponents of 4 in the numerator. This gives you 4^(7-9), which equals 4^(-2).
Rewriting 4^-2 as a fraction, you get 1 / 4^2 = 1 / 16. Thus, the answer is option B:
Start Fraction 4 superscript 7 baseline over 4 superscript 9 baseline End Fraction = Start Fraction 1 over 16 End Fraction.
Multiply. Write the result in scientific notation.
(1.8 • 101)(7 • 105)
A. 1.26 • 107
B. 8.8 • 106
C. 8.8 • 105
D. 1.26 • 106
To multiply these numbers in scientific notation, you need to multiply the coefficients (1.8 * 7) and add the exponents of 10 (1+5).
(1.8 * 10^1)(7 * 10^5) = 1.26 * 10^(1+5)
This can be written in scientific notation as 1.26 * 10^6.
Therefore, the answer is option D:
1.26 * 106
are you sure?
Yes, I'm sure.
The expression (1.8 × 10^1)(7 × 10^5) can be simplified as follows:
(1.8 × 7) × (10^1 × 10^5)
= 12.6 × 10^6
= 1.26 × 10^7 (in scientific notation)
Therefore, option A, 1.26 × 10^7, is the correct answer.
Simplify the expression.
6t^3 ∙ 6t^3
A. 12t^3
B. 12t^6
C. 36t^6
D. 36t^9