e)2³×2⁵×2⁸       f)x⁷⁰× x⁸⁰ × x¹⁰⁰

Let's simplify the given expressions one by one.

### e) \( 2^3 \times 2^5 \times 2^8 \)

When multiplying powers of the same base, you can add the exponents:

\[
2^3 \times 2^5 \times 2^8 = 2^{3+5+8} = 2^{16}
\]

So, the simplified expression is:

\[
2^{16}
\]

### f) \( x^{70} \times x^{80} \times x^{100} \)

Similarly, for powers of the same base \( x \), we add the exponents:

\[
x^{70} \times x^{80} \times x^{100} = x^{70+80+100} = x^{250}
\]

So, the simplified expression is:

\[
x^{250}
\]

Let me know if you'd like more details on how to simplify these, or if you have any questions!

Here are 5 related questions for practice:
1. Simplify \( 3^4 \times 3^2 \).
2. Simplify \( y^{15} \times y^7 \times y^3 \).
3. What is \( 5^6 \times 5^2 \times 5^3 \)?
4. Simplify \( z^{10} \times z^{25} \times z^{15} \).
5. Simplify \( 4^3 \times 4^7 \).

**Tip**: When multiplying powers with the same base, always remember to add the exponents!

e) 2³×2⁵×2⁸ f) x⁷⁰× x⁸⁰ × x¹⁰⁰

Learn how to simplify exponent expressions like 2³×2⁵×2⁸ and x⁷⁰× x⁸⁰ × x¹⁰⁰. This problem demonstrates the product of powers property, adding exponents for terms with the same base. Suitable for Grades 7-9.

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