ADVANCED NUMERACY CONCEPTS

Advanced Numeracy Concepts



Advanced Numeracy Concepts

Answer 1) Write the following in expanded notation.

= (-2) x (-2) x (-2) x (-2)

= (5x) x (5x) x (5x)

= (5x) x (x) x (x)

Answer 2) Evaluate the following

= 22 x (-3)3

= 2 x 2 x (-3) x (-3) x (-3)

= 4 x 9 x (-3)

= 36 x (-3)

= -108

= -3 / 62

= -3 / (6 x 6)

= -3 / 36

= -1 / 9

Answer 3) Simplify the following

= b6

= (bxbxbxbxbxb)

= 3(n+p)

= 3n x 3p



= 12f3 x fg

= 12f(3+g)

= 33 x 2 x ab2 x a3 x a3b0

= 27 x 2 x ab2 x a3 x a3b0

= 54 x a3 x ab2 x a3b0

= 54 x a3 x a4b2

= 54 x a7b2

= 54a7b2

= 3st x st6 x 3st2t-6 2s-2 x t5

= 3s2t7 x 3st2t-6 2s-2 x t5

= 9s4t1 x 2s-2t5

= 18s2t6

= (xy)-8 x (xy)3

= (xy)-5

= x-8 / x3

= (x-8) x (x-3)

= x-11

= 3x / 3-y

= 3x x 3y

= 3(x + y)

= x3y-3 / (x-4y2)

= x(3- -4)y(-3-2)

= x7y-5

Answer 4) Simplify the Following.

= 36

(3x3x3x3x3x3)

= ab-12

1/ab12

= x3/4

X0.75

4-6

1/46

= 1/4096

= 2.4x10-4

Answer 5) Write the following as power of power.

= (x3)4

= x12

(4a)b

= 4ab

Answer 6) Write the following as power of power.

= (4a3 x b-2)2

= 4a(3x2) x b(-2x2)

Answer 7) Use the power of power rule to write each of the following as power of product.

= 23a9

= 2(1x3)a(3x3)

= (2a3)3

= 45 x b10

= 4(1x5) x b(2x5)

= (4b2)5



Answer 9) Use the power of quotient rule to write each of the following as power of quotient.

= 36 / c3

= 36c-3



= 2-4j-10 / 36k8

= 2-4j-103-6k-8

Answer 10) Use the power of product, the power of quotient, and the power of a power rules to simplify each of the following.

= (4x4 / y)3

= 4x12 / y3

= 4x12y-3

= ((a2b4c0)3 / a4(b3)2) x (b3c5 / a4)3

= ((a6b12c0) / a4b6) x (b9c15 / a12)

= ((a6b12c0) x a-4b-6) x (b9c15 x a-12)

= ((a2b6c0) x (b9c15 x a-12)

= a-10b15c15

Answer 11) Use the power of product, the power of quotient, and the power of a power rules to simplify each of the following.

= 2xy-3

= 2x / y3

= (a-4 / b3)5

= 1/a4

Answer 12) Simplify the following and then use the negative exponent rule to write with negative exponents (and no positive exponents).

(a) 4-6 / x-8

= x8/46

= x8/4096

(b) = 2/ (b x b x b)

Answer 13) Simplify each ...