7.2.B Intro to Powers/Product to Powers

Powers of Powers Product of Powers You can use patterns to find shortcuts for simplifying a power raised to a power or a product raised to a power.To write a fraction, use the " button. For example, to type one half, type "1 type an exponent, use the "^" button (shift 6). For example to type x squared, type "x^2" with no spaces. 5 2 10 6 6 3 18 8 8 8 8 4 32 1 1 1 3 1 1 1 1 1 4 2 4 4 2 8 n^2 n^2 n^2 2 2 2 3 6 x^5 x^5 x^5 x^5 5 5 5 5 4 20 a^1 a^1 a^1 a^1 1 1 1 1 4 1 10a. What patterns to do you see in #s 1-9?10.b Use your pattern to simply (y11)33. You can use patterns to find shortcuts for simplifying a power raised to a power or a product raised to a power.To write a fraction, use the " button. For example, to type one half, type "1 type an exponent, use the "^" button (shift 6). For example to type x squared, type "x^2" with no spaces. 2 2 3 3 2 2 x x x y y y 3 3 pq pq pq pq p p p p q q q q 4 4 16a. What patterns do you see in #s 11-15?16b. Use your patterns to predict (ab)11.