Question

Simplify the following expression:
`6^(-2)` ×
`6^(3)`

Answer 1

To simplify the expression 6^-2 × 6^3, we combine the exponents and get 6^1 which simplifies to 6.

Step-by-step explanation:

Simplifying expressions involves transforming them into a more compact and equivalent form by combining like terms, performing operations, and applying algebraic rules.

To simplify the expression 6-2 × 63, we can combine the exponents since both bases are the same. When multiplying with same bases, we add the exponents together. In this case, -2 + 3 equals 1. So the expression simplifies to 61, which is just 6.

Answer 2

`\sf 6^(-2) * 6^3 = 6`

Step-by-step explanation:

To simplify the expression
`\sf 6^(-2) * 6^3`, we can use the rules of exponents.

When we multiply two expressions with the same base, we add the exponents.

The expression
`\sf a^m * a^n` is equal to
`\sf a^(m+n)`.

`\sf 6^(-2) * 6^3 = 6^(-2+3) = 6^1`

So, the simplified expression is
`\sf 6^1`, which is equal to 6.