Pre-algebra to Algebra 1 facts

Facts that will make solving such problems much more efficient.

What is the result of raising a negative number to an even power?

Raising a negative number to an even power yields a positive result.

For instance, (−4)^2 = 16 and (−2)^4 = 16.

Calculating exponents: How can we identify the only positive result among given choices?

The only positive number among several options can be found by identifying even powers of negative numbers.

Such as: (−3)^2 = 9 and (−2)^6 = 64.

What is the product of multiplying two terms with identical variables?

The result is the product of their coefficients with the variable raised to the sum of their exponents.

For example, if you multiply x^2 and x^3, you get x^{2+3} = x^5.

What is the product of multiplying two terms with identical variables?

The result is the product of their coefficients with the variable raised to the sum of their exponents.

For example, if you multiply x^2 and x^3, you get x^{2+3} = x^5.

When a coefficient in a term contains a square root aside it, what would be the product?

The product is the coefficient multiplied by the square root, expressed as a single term.

For example, if the coefficient is 3 and the square root is (\sqrt{4}), then the product is (3 \cdot \sqrt{4} = 3 \cdot 2 = 6).

What is the term for numbers inside a radical?

Radicand.