Question

Challenge questions 1

Answer 1

9)

$\frac{24z^{5}y^{4}}{3z^{-2}y^{5}} = \frac{24}{3}*\frac{z^{5}}{z^{-2}}*\frac{y^{4}}{y^{5}} = \frac{8}{1} *\frac{z^{5+2}}{1}*\frac{1}{y^{5-4}} = \frac{8z^{7} }{y}$

11)

(a²b)³ = a²⁽³⁾b¹⁽³⁾ = a⁶b³

12)

The exponent tells you how many places to move the decimal. The positive/negative sign tells you which direction to move the decimal (negative is left, positive is right).

8.4 x 10⁻⁵ move the decimal 5 places to the left   =  0.000084