Exponent Rules

Front

What happens to the exponents when we raise a power to another exponent?

Back

We multiply the exponents.

Front

What is the simplified form of y^4?

Back

y^4

Front

How do you simplify the expression \( \frac{x^5}{x^3} \)?

Back

x²

Front

How do you write a^2 with positive exponents?

Back

a^2

Front

What is the result of multiplying 10^5 by 10^7?

Back

10^12

Front

What is the rule for multiplying powers with the same base?

Back

Add the exponents.

Front

What is the rule for dividing powers with the same base?

Back

Subtract the exponents.

Front

How do you express a negative exponent as a positive exponent?

Back

a^(-n) = 1/a^n.

Front

What is the value of any non-zero number raised to the power of zero?

Back

1.

Front

What is the result of (x^2)^3?

Back

x^6.