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Simplify m⁸ * m⁻⁶ / (1/m⁴⁸ * m² / 1/m²) - m¹⁴

User Andy Rich
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3 votes

Final answer:

The question is about simplifying an algebraic expression with exponents by applying exponentiation laws, such as adding and subtracting exponents when multiplying or dividing powers with the same base.

Step-by-step explanation:

The question provided involves simplifying an expression with exponents and is based on the laws of exponentiation. The initial step in solving such a problem is to apply the rule which says that when multiplying powers with the same base, you add their exponents (ma * mb = ma+b). Similarly, when dividing powers with the same base, you subtract the exponents (ma / mb = ma-b). Also, m1 = m and m0 equals 1 due to any number to the power of zero is one. Furthermore, negative exponents indicate division by that base raised to the corresponding positive exponent (m-a = 1/ma). By applying these rules, we can simplify the expression, which includes cancelling out like terms and simplifying the fractions.

User Brian Blonski
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