Exponents and scientific notation homework 4 answer key

The division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base. Question 29. The mass of the Sun is about 2 × 10 27 metric tons, or 2 × 10 30 kilograms.

To divide exponents (or powers) with the same base, subtract the exponents. The division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.

Explain why the exponents cannot be added in the product 12 3 ⋅ 11 3. The exponent “product rule” tells us that, when multiplying two powers that have the same base, you can add the exponents. The bases are not the same in the given problem. => 5289852801024 which is wrong.

The exponent “product rule” tells us that, when multiplying two powers that have the same base, you can add the exponents. The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents. The “power rule” tells us that to raise a power to a power, just multiply the exponents.