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To calculate (5^{8} - 2 \times 3), first find (5^{8} = 390625). Then, calculate (2 \times 3 = 6). Finally, subtract: (390625 - 6 = 390619). Thus, the value is (390619).

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What is the base exponent and value of -5x3?

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A negative exponent is 1 over the base to the power of the absolute value of the exponent. For example 2 to the power of -1 is 1/2, 2 to the power of -2 is 1/4, or (1/2) squared, and 2 to the power of -3 is 1/8, or (1/2) cubed.


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What happens to the value of the numerical expression when the exponent decreases?

When the exponent of a numerical expression decreases, the value of the expression typically decreases as well, assuming the base remains the same and is greater than one. For example, reducing an exponent from 3 to 2 for a base of 2 changes the expression from (2^3 = 8) to (2^2 = 4), illustrating this decrease. Conversely, if the base is between 0 and 1, a decrease in the exponent can increase the value of the expression.


How do you find value of exponents?

To find the value of exponents, you multiply the base by itself as many times as indicated by the exponent. For example, (2^3) means (2 \times 2 \times 2), which equals 8. If the exponent is zero, the value is always 1 (e.g., (5^0 = 1)). For negative exponents, take the reciprocal of the base raised to the positive exponent (e.g., (2^{-2} = \frac{1}{2^2} = \frac{1}{4})).


How do you solve when you have a negative exponent?

A negative exponent is the same as 1/(the positive exponent). For example, 2^3 is (2*2*2) = 8. 2^(-3) is 1/(2*2*2) = 1/8. So, just calculate the positive exponent version, and put it under 1.


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The value of the exponent 2 refers to raising a number to the power of 2, which means multiplying that number by itself. For example, 3 raised to the power of 2 (3²) equals 9, as 3 × 3 = 9. In general, any number ( x ) raised to the exponent 2 is expressed as ( x^2 ).


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The exponent form of 114 is 2^7 * 3^1. This is because 114 can be broken down into its prime factors, which are 2 and 3. There are 7 twos and 1 three in the prime factorization of 114, so the exponent form is 2^7 * 3^1.


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