To solve the expression $\frac{2^{10}}{2^4}$ using indices:

Step 1: Apply the Laws of Exponents

We can simplify the expression by using the quotient rule of exponents, which states: $\frac{a^m}{a^n} = a^{m-n}$ In this case, $a = 2$, $m = 10$, and $n = 4$.

Step 2: Subtract the Exponents

$\frac{2^{10}}{2^4} = 2^{10-4} = 2^6$

Thus, the simplified expression using indices is: $2^6$

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Related Questions:

1. How would you simplify $\frac{3^7}{3^2}$ using indices?
2. What happens when you divide powers with the same base but the exponents are equal?
3. How can you express $\frac{5^{12}}{5^7}$ using indices?
4. How do you simplify $\frac{10^8}{10^3}$ using the laws of exponents?
5. What is the general formula for dividing exponents with the same base?

Tip:

Remember, when dividing powers with the same base, subtract the exponents to simplify the expression.