Math Question - Indices - Quiz & Trivia

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2. 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 = ____________ ^_

The given expression represents the repeated multiplication of the number 9 by itself 8 times. This can be written as 9^8, which is read as "9 raised to the power of 8". Therefore, the correct answer is 9 power of 8.

Explanation

The given expression represents the repeated multiplication of the number 9 by itself 8 times. This can be written as 9^8, which is read as "9 raised to the power of 8". Therefore, the correct answer is 9 power of 8.

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3. 8 x 8 x 8 x 8 x 8 x 8 = ____________ ^_

The given equation represents the multiplication of the number 8 by itself 6 times. This can be written as 8 raised to the power of 6. In other words, it is the result of multiplying 8 by itself 6 times, which equals 262,144.

Explanation

The given equation represents the multiplication of the number 8 by itself 6 times. This can be written as 8 raised to the power of 6. In other words, it is the result of multiplying 8 by itself 6 times, which equals 262,144.

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4. 5⁵/ 2³Round off to 3 sig.fig.

The given question asks to round off the division of 3125 by 8 to 3 significant figures. To round off to 3 significant figures, we start from the leftmost non-zero digit and count three digits from there. In this case, the leftmost non-zero digit is 3, and counting three digits from there gives us 391. Therefore, the correct answer is 3125 divided by 8 equals 391, rounded to 3 significant figures.

Explanation

The given question asks to round off the division of 3125 by 8 to 3 significant figures. To round off to 3 significant figures, we start from the leftmost non-zero digit and count three digits from there. In this case, the leftmost non-zero digit is 3, and counting three digits from there gives us 391. Therefore, the correct answer is 3125 divided by 8 equals 391, rounded to 3 significant figures.

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5. 2 x a x a x b x b x 2 = __________________

The given expression can be simplified by multiplying the coefficients and combining the variables with the same base. The coefficient of 2 x 2 is 4, and the variables a and b are raised to the power of 2 each. When we multiply the variables with the same base, we add their exponents. Therefore, the expression simplifies to a power of 4 x b power of 4.

Explanation

The given expression can be simplified by multiplying the coefficients and combining the variables with the same base. The coefficient of 2 x 2 is 4, and the variables a and b are raised to the power of 2 each. When we multiply the variables with the same base, we add their exponents. Therefore, the expression simplifies to a power of 4 x b power of 4.

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