Explain why you can subtract exponents when you are dividing two things with the same base.
Answer (3)
Because they have the same base number so that makes it mathmatically okay to subtract the sub script exponents
Subtracting exponents when dividing two numbers with the same base is a rule derived from the laws of exponents. It simplifies division by instructing to subtract the exponent in the divisor from that in the dividend, keeping the same base.
The reason one can subtract exponents when dividing two powers with the same base is due to the laws of exponents. The division of expressions with the same base can be simplified by keeping the base and subtracting the exponent of the divisor from the exponent of the dividend.
For example, in the expression a m / a n , where a is the base and m and n are the exponents of the numerator and denominator respectively, the rule states that you keep the base a and subtract the exponent of the denominator from the exponent of the numerator, which results in a raised to the power of m - n. This rule works for any base and positive or negative integer exponents as long as the base is not zero.
When dividing two exponential expressions with the same base, you can subtract the exponents according to the formula a n a m = a m − n . This principle simplifies calculations by reducing the division of powers to a straightforward subtraction of their exponents. This rule is applicable to all real numbers as long as the base isn't zero.
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