$$15-(-3)\{4-6-2\}; \div3\{5+(-3)\times(-6)\}$$
$567$
$$-465\left(-3\right)\left(4-3\right)+3\left(5\left(-3\right)\left(-3\right)\left(-6\right)-6\right)$$
$$1395\left(4-3\right)+3\left(5\left(-3\right)\left(-3\right)\left(-6\right)-6\right)$$
$$1395\times 1+3\left(5\left(-3\right)\left(-3\right)\left(-6\right)-6\right)$$
$$1395+3\left(5\left(-3\right)\left(-3\right)\left(-6\right)-6\right)$$
$$1395+3\left(-15\left(-3\right)\left(-6\right)-6\right)$$
$$1395+3\left(45\left(-6\right)-6\right)$$
$$1395+3\left(-270-6\right)$$
$$1395+3\left(-276\right)$$
$$1395-828$$
$$567$$
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$3^{4}\times 7$