Indices Law

Front

What is the Quotient Law of Indices?

Back

The Quotient Law states that when dividing two powers with the same base, you subtract the exponents: a^m ÷ a^n = a^(m-n).

Front

Simplify: 5^7 ÷ 5^3

Back

5^4

Front

What is the Product Law of Indices?

Back

The Product Law states that when multiplying two powers with the same base, you add the exponents: a^m × a^n = a^(m+n).

Front

Simplify: 3^4 × 3^2

Back

3^6

Front

What is the Power of a Power Law?

Back

The Power of a Power Law states that when raising a power to another power, you multiply the exponents: (a^m)^n = a^(m*n).

Front

Calculate: (x^3)^4

Back

x^12

Front

What is the Power of a Product Law?

Back

The Power of a Product Law states that when raising a product to a power, you apply the exponent to each factor: (ab)^n = a^n * b^n.

Front

Simplify: (2xy)^3

Back

8x^3y^3

Front

What is the Zero Exponent Rule?

Back

The Zero Exponent Rule states that any non-zero base raised to the power of zero equals one: a^0 = 1 (where a ≠ 0).

Front

Simplify: 7^0

Back

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